the reflective type is supposed to be okay, not the header tape type. I haven't actually done it, so was just relaying what i have seen others do. I missed the timing/compression angle... or weak battery... d'oh.
my Torino used to do this after i replaced a burnt starter with an autozone one. It could have just been the cable connection... i just put it in neutral and revved it a couple times as i approached wherever i was getting ready to shut it down. it cooled it off enough to work fine.
i put a high torque starter on the E350 and now it sounds Mopar-esque i think i got a defective one or fried it though. sometimes i have to hit it with a hammer The old one was heat soaking due to bad cables i think. the high torque was sitting on a shelf, so it got used w/ the new cables. It would heat soak badly until i jumped the integral solenoid and went back to the one on the fenderwell. I want to put a regular Ford starter back on it.