I had some what the same problem except I would get a very low fuel which made the engine loose power. Pressure reading after running and getting hot under the hatch.was 2 lbs. If your engine set up is like mine where the electric fuel pump is mounted up high about the height of the dist. with the carter fuel pump this what cure the problem.
I replaced the pump with a holley electric(motor did not have a spot a mech.pump)and mounted the pump on the transit down by the floor.The key factor I think was to have the pump located low. I think the carter would have also worked but the holley looked better.I used the 14lbs holley with a pressure reg. Pressure stays at 7lb hot or cold. runs good any time now.
Good luck!