Next time its hot at shut-down, have a peek down the boosters and check for dribbles. It could be flooding?Is your carb sucking hot under-hood air, or is it getting fresh cool air?
Seen that with a Hemi Dart clone that the pair of repro 1850's couldn't handle much fuel pressure. Put in a regulator, turned down the pressure in steps, and cured it. Is as reliable and cold starts like a Honda now...a really mean fire breathing Honda.