Paging Dr. FABO: Need help diagnosing a 318 stalling problem

I have a 67 Barracuda with a mid-70s 318. It's been a good daily driver for the past year, but has just developed a stalling problem.

What is the typical checklist for this issue?

Some facts about the patient:

318 with a Carter 4-bbl, automatic, headers.

904 torqueflight 3 speed with 8 3/4 rear

Some possible clues:

After stall, the car won't start for an hour or so. Turns over but no fire, like it's flooded.

I burn mostly non-oxy, but sometimes regular 91 octane.

Recently put in a new fuel pump ... and there were no stalling issues for several weeks after this.

I have no clue about the stall converter. I just know this has not been a problem and not much has changed other than the fuel pump.

Thanks, Doc.