you smell fuel because the fuel is not burning. so i think what you are missing is the spark.
i know it has something to do electronically that when it heats up, thats when everything acts up.

since theres no check engine light, i would change the distributor if it has one since it has the coil and the igniter built in it.

or if it has coil near plugs or coil on plugs, ill do a resistance check on them and hope something shows up.