I really want to get my tragus pierced but I don't know who does it and I don't really want to go to a tattoo shop

The thing is, body piercing usually goes hand in hand with a tat shop. Unless one of those boutiques at the mall will do it... that's where you're going to end up going.

Might I inquire as to why you don't want it done at a tattoo place?

A tattoo or specialist piercing parlor is your best bet. Anywhere else like somewhere in the mall and your piercing is likely to be crooked or done with a gun which is the worst thing you can do. A tattoo/piercing shop is where the professionals really are and they will be happy to help and they will do your piercing exactly how you want it and to a good standard.