An overhang on the student side will not provide much benefit when considering the layout of the stadium (i.e. student side will always be facing west) and the time of home games. The sun does pretty much the same thing for early/mid-season 6pm games and late season 4pm games. It will be in your face until it goes down behind the home side.
The only time you will benefit is if its an earlier game, which we try to avoid.