Why would presure be building in the fuel tank

Preasure your fuel tank. Take a cloth and put over your gas tank fill and use a air compressor to blow air into the tank to build presure. This should build up presure and react the fuel pump to pick up the fuel.

Here is an idea.
It sort of sounds like there is a blockage after a while in the gas tank.
If there were sediment in the bottom of the gas tank, it would start and run fine sitting still.
However, when driving it, it would be a matter of a few minutes until the sloshing of the fuel would cause the sediment to mix in with the fuel, and clog the filter screen in the fuel tank.
When it stops, the sediment would settle back down, and in 15 - 20 minutes, it would be clear again.
God bless your efforts.

Most original fit EFI in tank fuel pumps are designed to shut down when the engine stops running with the ignition switched on. This is a safety system eg inthe event of a frontal collision which disables the engine and a fuel line is severed the fuel pump should shut off. Its considered not a good idea to run out of fuel as this can cause internal damage to the fuel pump also poss cause the fuel filter to be contaminated. Is this a siutable answer?

You've got your gas tank presure release valve.stuck or no good

i have had this problem its the emissions i sorted it out with a fuel additive in a tank full of fuel every 4k add the aditive you will find it will clean out your emmissions and stop the smoking plus give you better performance and better fuel economy, its a build up of engine deposits thats past to your exhurst the additive gets rid of the deposits as a gas, try cataclean this cleans your engine and converter or STP is another good one.

Sounds like it is. The fuel presure can be checked under the hood with a guage.

every fuel tank has a ven't it shoulden't build up too much presure, the vent tube might me full of dirt

maybe water in your tank if the station was getting fuel in their tanks

1)check the ignition switch is not loose.those things normally come on before starting.unless2) you have a main ground broken somewhere.rodents eat the wiring harness to build a nest and cause mayhem...i have seen that a few times .check the fusebox under the hood on the drivers side

maybe the fuel filter is severly clogged up