Your carb does not care about fuel-pressure.
Your carb cares only about one thing, that the fuel level is always correct.
Fuel pressure is used to push the fuel to the carb against the closed or nearly closed float valve. Two psi when stopped and idling will be just fine. You can gravity feed that carb at zero psi when stopped and idling, and it will idle all day.
If it stalls when you close the throttle, have you considered that it is idling too slow? Turn the speed screw in (faster)about 2 or 3 full turns, reset the mixture screws to 2.5 turns and try it again. If the idle is too high, retard the timing. Your target is 600 to 700 with a stock to near stock cam. If you still have stalling or backfiring, you will have to hunt for a vacuum leak.
If you have a timing light try 10 degrees at idle. adjust the idle speed up or down as may be necessary.