Heh, just from my experience last season, I'd do run and gun or push. I'd recommend push because when you do run and gun often, stamina drops :/. But push, is like Look Inside and Run and Gun together. Because you shoot inside, and outside.
I think both makes stamina drop a bit faster if you use it often, but I'm sure run and gun makes stamina drop. my 26 year old SG stamina dropped after 3 games in a row of run and gun (i was new at the time). Yeah but I think Base Offense is the normal speed, and Patient slows down stamina loss.
Run 'n Gun has absolutely no effect on making your players stamina drop. Players Stamina always goes down a very little amount every week, it has nothing to do with what tactics you play.