1988 Ford Mustang Foxbody Mustang hesitates backfires and d

Hello. I'd greatly appreciate your help. On warm sunny days with 80+ degrees outside when my engine warms up (doesn't happen when the engines cold or during cold weather), the car will start dying idling way low about 400-500 rpm then I try giving it gas to keep it going and it backirea and pops. Sometimes it's a lost cause and the car dies, so I have to coast into some shade and let it sit for about 10-20 mons before it will start and even begin to go. And sometimes I can smell the gas running rich, with no black smoke though. I have cheled the plugs, distibutor andtiming, the fuel filter was replaced, I don't know what else to do, can you help me?