if I'm understanding you correctly, I don't think the double time thing would apply. Here's the problem with it:
I'm doing a song at 132 BPM. It has a half time feel. However, at 132 BPM, it has that progression of cord changes on 3 and 4. Anything I apply at 132 absolutely does the 3 and 4 change, but it's completely the wrong feel. So if I set things to half time, I get the proper feel, however then it does not catch the chord changes.
I would reprogram the entire song at 66 BPM if I could, but then it becomes chord changes on 4 +, and then back to root on 1. And there's no way to program that, that I am aware of.
This is my half time dilemma.