Do I have a shot at a BB bank?

In my honest opinion, without knowing anything about your school, you don't have a great shot at a BB bank. Not trying to be an asshole, but your lack of meaningful work experience will put you at a severe disadvantage when it comes to recruiting. You will be competing against kids who have had one or more internships already, some at BB banks. Also, your GPA is also a little on the low side considering you don't really seem to have anything draining your time. If you had a 3.5 because you were on a varsity sports team and worked part time that would be one thing. But without a real reason for the 3.5 that's going to be an obstacle to overcome.

My advice to you would be to find an internship, paid or unpaid, even if is just 5 hours a week that can provide you with some work experience and at least something to talk about during interviews. Also, start reaching out to alums immediately if you have not done so already. That could make a real difference for someone like you who is on the bubble. Network Network Network. And this should go without saying, BB are not the be all and end all. It appears as though you have the drive to succeed and a MM or boutique could end up fitting better with your personality.