[RichardJ]

Some interesting responses.

I thought kwmech's question "What are the shut off issues??" was the most useful.

Recently had a problem with Son-in-Law's '94 TBI350. It would die at idle, after warmed up. Similar to what you did, I checked fuel pressure, TPS and IAC. Changed really old, crusty plugs and cap/rotor.
HEI module had been installed dry. Put heat transfer grease under it and no change.
Replaced HEI module with a used one that I thought was good.

I didn't die at idle anymore, but then after two mile warm up would die slowing to a stop as you described.

Changed HEI module for a new one and problem gone.

A heat transfer compound is not the same thing as a dielectric grease. Be sure you use the correct heat transfer product as many people will sell you the wrong thing.