You could try a stock lower-pressure pump - as it currently appears to have the later 49-53 pump - which will put out more volume and pressure than stock.
While I hate to mention an alternative direction, but here goes.
You already have the engine out of the car, so why not think about pulling the crankshaft, having the slinger ground off and switching over to the later rope-type seal plates? You'll only have a few more hours of work to do this . . . and it beats putting it all back together (even with a new pump) - only to see the same problem once again.
Or just put a later crankshaft in it . . .