I have crappy advice- just keep playing around.
Everyone's experience is very different when they move to the advanced friction hitches. It takes time to fine tune your cord/hitch combo to work best with you and your climbing line.
You seem to already understand that extra wraps gives more friction. Smaller diameter cords also give more friction- they bite down harder. If you are looking for LESS, maybe step up the diameter just a hair.
The Michoacan (mee chwa kahn) is AWESOME. Easy to tie (I think we all already know how to tie it) and it performs well.
love
nick