I did Tuesday to Tuesday the last few times. I think its one secret to unlocking a better trip.
Being off cycle to the Saturday to Saturday crowds is great. Honestly eliminated many frustrations. The daily AA flights are a game changer. Have found Tuesdays to be better pricing as well. Less traffic at immigration. etc..
Only draw back I have noticed is some of the smaller charter companies are unable to accommodate this so you have a few less boats to choose from.