Will 318, 340 or 360 heads fit on a 273?

I don't think we should go there. You used big port, small valve, open chamber heads on your 273 build and made them work. It sounds like you built your engine around the heads. From what I see, the OP is a beginner. He is learning here and doesn't know the difference between open and closed chamber heads. Let's not confuse him with a fairly complicated combination. It sounds like he should keep it simple.

You will see I answered his question, then recommended he use the "66" heads he has.