How much grinding do you want to do? Also depends on the crank manufacturer. How large the counterweights are, etc.
Without major work, you can fit in a 4.25. With a ton of work and the right crank, a 4.375 will fit. If the planets all align, possibly a 4.50. But you are really pushing it at that point.
I guess the real question would be, why so much crank?