Believe it or not, it could be fuel. Back when fuel prices went stupid here in Ontario, I thought I'd try to run my 351C4V with 10:1 compression on regular 87 octane, 10% ethanol crap fuel. It would run on it somewhat ok, but when I went to shut it down, it ran on (dieseling). Fortunately I didn't fill the tank, so refilling with premium improved the run-on until it was on full premium. Never done it since, just costs a lot to drive!!
Timing is also critical. I'm not familiar with 302's, stroked or otherwise, but again from my own engine settings, these cars were made to run to emission standards at the time. As soon as we start playing with modifications, it all changes. My car for instance, originally had 6 degrees of initial timing, but as an early 71, only had an EGC on the exhaust manifolds, long gone by the way. After a mild rebuild, actually lowering the compression and with a mild cam upgrade, I now run it at 14 degrees initial and 34 all in @ 3K rpm's. The stock distributor is recurved for only 20 degrees crank timing. The factory setting was 6 initial and 36 all in, so 30 degrees on the crank.
It seems to me that today, people like to go buy those fancy new distributors that are supposed to do it all electronically, so you have no idea what the hell the settings are. A well rebuilt and curved Autolite of Motorcraft dizzy or better yet, a properly tuned DuraSpark will do the job and even look as it should, original.
Or it could just be as others have described. Good luck.