You are not allowed, by law, to CARRY on LSU's campus. Storing inside your car is a gray area - remember, state law DOES define having a firearm in your car as a constitutionally protected activity. If you keep it there, out of sight, and don't go bragging about it to your friends, you'll have no problem. If Campus Police find out and decide to give you a hard time, you'll have plenty of trouble. I think you'd ulltimately prevail, but my opinion doesn't count in court. You need to decide if it would be worth the rather large amount of time and money you'd have to spend to defend something like that.
Also, considering the distance away from most campus buildings that you must park, a gun in the car would be virtually useless in any type of "active shooter" event like VA Tech. By the time you ran to the car and ran back, the place would be swarming with cops and you'd likely be arrested as a suspect rather than have the chance to help defend your fellow students. That's why it's a shame that the "carry on campus" bill failed. If this is your main concern, you might want to rethink things. If your main concern is that you live in or travel through a rather nasty part of town and that you want protection while doing so, then you might just go ahead and keep a gun in the car; but remember what I wrote before, the Campus Police may not take kindly to you if they find out about it.