You should be able to easily hit 4K with a 40gr bullet, and then some. Especially since you will have significantly more case capacity than the standard 20 PPC.
I might twist the barrel to try the 50gr Bergers and take it long.
I didn't want to get my hopes up, but I was thinking 4000 would be pretty easily achieved. As for twist, I have a REALLY good Mullerworks 1-11 twist tube sitting here, and that's what I'll use. I'm trying to use up actions and barrels I have laying about and complete rifles out of the piles of 'stuff' I have laying about...my last 20 cal went to a friend and I've been missing it.