did you even try to use a gravity Fuel Tank ? I always keep one handy for first start-up after long time sitting. If a temp gravity tank does keep it running then you have pin-pointed the problem and can easily work back from there. Sometimes a coil can stop functioning when warmed up too?
Gonna try to put a new fuel pump on mine. Everything else was good. I have to pull it 10 times before it runs for a few seconds or so. Other than that...I'm not certain. Otherwsise...I'll just take it in to the shop.