Bike loads up with too much fuel after it warms up fuel level is good choke seems to be working good.

Sounds like carbs need a good clean out. The 1991 model GSXR was not Electronic Fuel Injected. A model this old may also be subject to the carbs being worn out and letting in unmetered air around the screws etc, which may be keeping the revs up at idle and causing a lean idle.
Applying load will source fuel from the next jet and hide the problem. Applying choke holds back some air which will help as it sounds like too much air at idle. This will not help as much when bike is warm.
Bottom line is your carbs need a good clean and service and maybe if they are leaking air they might need to be replaced.

You will have to check the float level of the carburators and hope you had used compressed air to blow out the jets!
Best still is to visit this site for more info...theres plenty in there for our type of bikes mine is XJ750RH.
Good luck.
www.xjbikes.com

It seems the carb/s flooding with fuel and thus it dies, try to reset the float pin and get the correct level of the fuel in the float chamber.
Standard procedure for air-mixture screw setting is u take the screw right in slowly taking care not to over tighten it as it may damage the tip of the screw.
Warm up your bike's engine and thn slowly turn anti clockwise the air-mixture screw to about 2 & a half turns and observe the engine's idling.
Before you attempt this setting(air-mixture) its better too, to replace the spark plug and set the gap to the specs of your bike's engine and check and adjust accordingly the valve clearance.
Hope this helps!

I would check that the rubber seals for the Choke circuit are in good shape and that the choke is actually working properly.