If you have already decided to pick up and move to a new place and the choices are pretty similar in their demographic, choosing to live in base is a the best option! It will give you way more choices in bidding and you will be home almost a whole extra day per week on average.
Talk to any guy who has both commuted and lived in base and the ubiquitous response will be that their QOL went through the roof after moving in base. If you were trying to decide between commuting from San Diego Vs. living in DFW then you might have to do some more soul searching. But SAT or AUS vs. DFW = NO BRAINER!