Electric fuel pump recommendations?

I'm sorry but that doesn't make sense. Maybe just the way it was written or maybe misunderstanding of how it works.
When it dies. Under what conditions does it die?
Giving it gas. Opening the throttle should result in fuel moving into the barrels from any combination of idle/transfer, booster, and shooters.
There must already be fuel in the bowl.
In many vapor lock situations, at closed throttle enough fuel makes it into the bowl to keep the engine running.

That filter could be a contributor.

The filter is brand new, and when the engine isn't hot I havent had a problem with fuel getting into the bowls.

Letting the car warm up then driving just down the street (1-1.5mi) it starts getting starved for fuel and sputtering. Ive tried giving it lots of pedal to get more fuel into the bowls and it eventually just dies still. Then when I try to give it gas from under the hood no fuel goes into the bowls. The two times it died it took over 1hr before it was cooled off enough, would prime the carb and start right back up.

Engine temp only gets to about 190 and no higher than 205.