An auto h22 swap would be just as fast or faster than a manual f22 swap with way less work done. I'd get the h22 if you want it faster, and the h22 is still reliable just like your f22. Whether you want it auto or 5spd, that's probably your best bet especially since money doesn't seem to be too big of a problem.

A 5spd tranny swap and h22 swap would be pretty cool tho