1990 LA 360 stops running when hot (help please)

A 1990 Maxi Van will have a TBI and PCM... no ballast or ECU. I would start with the distributor pickup coil. Gets hot, pickup fails... It's a longshot, but if a local shop/dealer has an old pre-OBD scanner and remembers how to use it, it may help narrow it down a bit for you.
Depends on the factory build date. Check the system Equipment to be sure. Assume nothing.