I can just imagine how much adding a trailer on the back of that Challenger is going to freak out the computer brake system, and the traction control system, not to mention the structural capability of the rear of the car. Turbocharging and supercharging a motor creates power and heat at a different rate then towing a trailer requires. Even a small trailer adds a lot of extra heat to the drive train at a time high heat is already present. It tends to cook the supercharger,turbochargers, the exhaust, the transmission, and over loads the cooling system, the electrical system, and messes up the computer settings.

You might want to look at hitch manufacturers (Ridged, Drawtight, or Curtis) and see if any of them list a hitch for your car. That would at least tell you if the car has the structure to handle a hitch, and how big that hitch can be.

After that warranty will probably depend on the dealership, and what kind of warranty is needed. Generally, supercharged or turbo charged stuff doesn't fair well with towing. The power multipliers create a lot of heat, and towing (even light loads) adds extra heat at the wrong times. Even back in the 80s any turbocharged Mopar warranty was voided when a hitch was added.

that stated, if you add a hitch, and drive it like your towing a big trailer, everything will probably work out OK, but if you drive it hard like there is no trailer back there, your going to kill something on your car, and warranty probably won't cover it when they see the hitch. Gene