What would you do?

I'm in the planning stages of building a street/strip motor for the 64 barracuda. I picked up what I thought was a clean 360, ended up being a turd. Crank has already been cut .020, already been bored .020 and it looks like it may take another 20 to 30 to clean up.
I also have a 4" mopar crank, and a set of h-beam rods out of another motor that is going bigger. These are for a 340 block, which I have. I have a set of j-heads that just got freshened up, a few different intakes, and probably will end up with a thermoquad on it. The only issue I see, is I more than likely will end up using the 273 exhaust manifolds. I got a set of magnum manifolds from a member, but there is no way they will fit without serious modifications. So how bad do you think 273 manifolds will hurt a stroker? Will later 340 manifolds fit? I have a set of 72's.
What would you do?