I'll throw out two suggestions if wrestling doesn't pan out.
Find an MMA gym with individual classes in clinch work, jiu-jitsu, and striking and attend regularly. If it's any good, you'll learn wrestling, jiu-jitsu, and Muay Thai on a basic level that should serve you well if you ever need it.
Find a stand alone jiu-jitsu gym, watch that they work stand-up/takedowns and vet the hell out of the instructor. Train regularly and maybe throw in some striking or padwork once you get some basics down.
Bottom line, any competition based, non-consensual, martial art will give you a piece of the puzzle. If you observe a few classes and don't see some form of sparring or rolling after a class or two, run away and find somewhere that does.