Sounds like pump to me; mine had the same symptoms. If I flipped the ignition off then on and restarted it would run ok for another X minutes.
A Ford mechanic told me that once the fuel PSI drops below ok level, the ECM goes whacky. I thought my ECM was bad. Backfiring, missing, idled ok, give it accelerator.
You can put a psi meter on the fuel rail and monitor it.
I had so many bad experiences trying to get mine fixed while on vacation in the NE, I limped home and found a good shade tree guy that had a F53.
I didn’t have to drain the tank. He said run it down to 1/8 tank. He undid the rear strap and loosened the fronts which gave him access to the top.
There is an adapter harness reqd too.
There was a thread here years ago from a guy that added a elec fuel pump near the filter leaving the OEM in place. The mod (Bounder something?) had it..
Dirt Dog?
Good luck.
Any brake dragging problems?