Please do yourself a favour and forget about the Teraflex tire carrier. There's
too many instances of the tire mount breaking, and if it happens on the highway the flying tire could kill the people in the vehicle behind you. Fortunately enough the worst hasn't happened to anyone yet yet, but it's really only a matter of time. And even though it has a poor design and was made with cheep metal, Denis will blame you for "installer error"...
The AEV tire carrier is designed to mount through a hole in the 10A bumper to the frame, just note it's the same spot as the rear passenger side tow hook. You'll have to take that tow hook off to mount their carrier. It's off centre too, which is really just aesthetics but if you have OCD that could drive you nuts.
You might want to look at the
Maximus 3 carrier. It bolts on to the body using the existing hinge bolts for the tailgate, so there's no extra drilling involved. It's a modular design too so you can add a high lift jack, rotopax, etc as needed.
Aside from that, there are a lot of other body mount carriers out there, like the EVO, LoD, Poison Spyder, GenRight, OR-Fab, etc, but all of those require at least some drilling or body modification that is probably beyond what you're considering right now. That said, I don't know hat kind of wheeling you're planning to do or what size tire you need to mount, but the carriers like the EVO one first suggested that have an outer frame and are secured on both sides of the body will be the strongest, most secure and will even provide some protection to the tire too.