The ignition timing may very well be off, but if it was off enough to cause the engine to not run it would be off ALL the time, and the engine would not run at all. The timing can not be "close enough" for the engine to run, then change after a minute or two, and cause the engine to die.
Check the things that have been suggested:
Fuel delivery- "drawing out of a five-gallon can" or words to that effect - A clean can? Drawing from the bottom, or siphoning over the top? You must be using a piece of hose, is it connected to steel line or hose-barbs anywhere, and is it air-tight? Is the hose large enough, and not kinked or twisted, etc?
Condenser - it can be tested, but no one has the equipment to test one anymore, so the only test is to substitute a known good one. And a new one may not be good. Great, huh? This has been a big problem lately. If you have another vehicle with a condenser, or know someone who does, maybe you can borrow one. A good, "wrong" condenser will be better than a "right", bad one.
Coil? again, about the only way to test is to substitute a known good one, or you could check for spark immediately after the engine shuts down. Ballast resistor - Could expand with heat and open a poor connection. See if it still passes current after shut-down.
Don't worry about timing now. It's OK part of the time, it's OK all the time. Get this thing to run continuously, then check the timing. BW