Percolation? Heat soak? Don't drive during summer??

Do doc...

When the engine dies you can pump the accelerator and see the accelerator pump squirt fuel into the venturi?

After it dies have you checked for spark?

If it is fuel related you could take some starter fluid and it should fire up.

You should also remove the fuel filler cap right after it dies and see if there is a air rushing sound.

If it is electrical ( what I suspect) things have to cool down to work again. Had a pinto that did that.

After it died one time I replaced all of my spark plugs and wires... still wouldn't start back up.

When it dies I press the throttle bracket and dont necessary see anything but all the smoke come out of the holes on top of the carb (shown in picture). When it cools down I see lots of fuel go in it.