Iceni

Word of warning, getting genuine replacement parts for a TM famas can be a pain. As I found out when I restored one (still need a few bits)

I own two AUGs (F88s to be pedantic ) and until recently an L85. Like you I cant get on with the AR/M4 platforms as I find them all too short in the stock. If you want a rifle and dont want to add anything to it then a A1 AUG is a good choice. Very pointable and easy to get along with although finding places with Mid Caps in stock is awkward at times. The A2 is a good choice if you want to just add a site to a rifle but it does not really replicate any real rifles. The A3 is the third choice if you want to go ballistic adding accessories to it. Like the A2 though they are a very poor representation of the real A3 but there are some inserts available on shapeways (3d printed) to fix this. You would likely find that this is quite a front heavy rifle as well but because of the motor being right at the back I would imagine it would still be fairly well balanced.
The L85 I also found decent to work with even with the added complexities of the GBB system on mine. For me though I found it was slightly awkward to use with the standard handgaurd until I used the sling to help support the front of the rifle. No idea if this is how the forces are trained but it was something I learned shooting the N08 in cadets and it helped massively. My friend now has the rifle though and fitted a DD rail and it is very nice to handle.
I'm seeing more F2000s about but unfortunetly have never had the chance to handle one along with the Tavor :/
Probably the biggest deciding factor between and L85 and an AUG is weather or not you need to be able to shoot single shot for the purposes of a sites rules. There is a modification you can do to the AUG trigger to create a semi position but it is a bit of work. Otherwise you are stuck with the two stage trigger and it is very hard to be able to consistently fire single shots with it. If you sites have no restrains on full auto then its not a problem otherwise you will need to start modifying it from the off.

You don't need long barrel for accuracy.

Every bullpup gun I can think of has a fixed stock (one can't adjust) and they're all different length guns. therefore you definitely need to try before you buy as the gun may not fit you. I have a P90, but lots of people have said it's an uncomfortable gun, either due to them having arms too long or moobs too big.
 
I'd suggest refining the options to a couple you like the look of and if you can't find someone with one to let you have a go, at least travel to an airsoft store and try them in person.
 
Have you tried using something M4ish with a foregrip and a 3 point sling? I wouldn't say a single-point sling provides any comfortable support for a rifle sized gun, just the ability to leave the gun hanging off your kit.

As Deek has said I think it would be very beneficial if you could get to handle some of the options you are looking at.
 
For me the L85a2 is my preferred choice because I find the weight distribution and firing position suits my style of play. I think really you've already answered your own question after you said the M416 (a popular weapon indeed) didn't suit.
 
Where about's are you based? I'm sure some members would let you see how you like the positioning of different options.
Really whatever you do you will need to handle it first, because some people are happy to play with whatever they can, but others like me and you can find some guns just darn uncomfortable.

I have the F2000 'Hunter' version, i.e. the one with the built in scope.
 
As previously pointed out it is a huuuuuuge slab of plastic, but I quite like it, but it does have issues, such as problems on single shot (which makes it almost useless for the CQB sites I play at). One the plus side the scope is pretty accurate, it takes M16 mags and you don't see that many of them knocking around.
 
Another bullpup I absolutely love is the P90 - I owned 3 TM variants at one point, and they are very solid and reliable. Sadly I have no experience of the P90s made by other manufacturers, so can't really give feedback on them.
 
The TM FAMAS used to be the weapon of choice for new starters, and they were virtually indestructible. Because of this most sites offered them as their hire guns. The only down sides to the TM FAMAS would be actually finding one and the price.
 
If you have the spare time and the means available it might be worth visiting one of the larger physical retailers and handling some of their weapons as this might give you a better idea of what would be suitable for you.

There's still the TM famas lurking around if you don't mind the creaky plastic - oldest aeg to date but still performs well.
 
The tavor is another one but the ares ones have plastic gearboxes.
 
Jg aug is a decent option.
 
The P90 is another great light weight and short option.
 
There's also the APS UAR but honestly they thing is ugly as fuk.
 
And there are 2 more you might wanna consider but the're out of your reach atm (£300+)
 
G&G F2000 amd TM High Cycle AUG
 
The high cycle aug has a fine tuned gearbox which fires 25 rps with an 8.4v battery which is insane. You pretty much don't need to upgrade this gun if you get it.

Tavor is another to look at.

APS UAR from using it a couple games and such is good and can take longer barrels if needed

Bull pups seem to be reasonably expensive and at£200 you probably won't be able to get many mags with one. Have a look at jg. I believe they make a p90 and aug and are reasonably priced

There's someone selling a G&G F2000 on the zeroone forums for around that much, they can run midcaps but do require a slight modification to the magazine.
+Solidly built
+Long Barrel
+Good internally
+Can use 2 point sling, but will require you to fabricate the rear attachment (not difficult)
+Very easy to take apart
+Good battery space (can fit 2200mah 7.4 lipo)
+Excellent balance, center sits right above the trigger
 
-Quite a lot of proprietary internals
-Weird trigger system, really needs a mosfet - but simple to install on v6 gearbox
-Fairly weighty compared to an m4
-Not much you can do to it externally
-It's fat, like really chunky. Takes a bit of getting used to.
 
Think you'll struggle to get a good bullpup for £200 new, they tend to be relatively expensive.

A sensible set of questions and you obviously have an analytical mind.
 
Unfortunately, I cant stand the Bullpup design and dont own any, so can't give you a review.
 
I do have a 416 though and am a little mystified by your weight/balance comment. Mine is quite well balanced and was quite manageable until I loaded it up with furniture. If you find a metal rifle like a 416/M4 heavy, have you looked at polymer based rifles ? either the plastic versions of real steel rifles like the M4 or replicas that are polymer in real life i.e. UMP
 
Unfortunately, there aren't that many bullpup designs to choose from in airsoft and your budget will make it even more restrictive.
 
The L85 is probably the most common and there have been a number of posts on here about the merits of the different models.
 
The Steyr is another and the Real Sword 97B is probably one of the best (and most expensive).
 
Good luck in your search.

If you onyl have £200. your best bet would probably be trying to find a secondhand ICS or G&G L85.theyre around £200 with some mags