I also use a Porter Cable but so far I have not had to deal with too many swirls.
However I notice that you say you have to wipe off the various cleaners. I frequently watch a pro buff out cars and let me tell you you almost never see a towel. Whatever compound is being used is worked with untill it is dry and no longer visible on the paint then it is a change of pad and the next compound.
Not that I can do it like that, but obviously working till it dries should not be a real issue. I think there is more to it and mastering proper technique.
Practice practice practice.

Good thing you have a test vehicle