I don't think the CPU matters much; I've been running the beta on an i5-2500K with a budget R9 270X card and it's been running at 60fps locked at 1080p.what processor do you have? Alpha has a 4th Gen i3, which is the only thing that concerns me a bit, but tbh I don't know how much that matters.
If there's another beta, I'm curious to see if it'll run on my NUC, which only has an integrated HD6100 in it. That thing is full on toaster status (but SF4 and DoA5 can run on it at 60fps).