What SUV to pull a camper trailer?

Avoid old Jeeps, not very reliable. You’re looking at 5000 lbs, smaller vehicles can’t tow that. And the electric brakes don’t really enter into it. Start looking at vehicles rated to tow 5000+ lbs.

I assume you really want to do this, otherwise sell it and use the money to rent accomodations or an RV when you need it. Much simpler that way.