Ok, 90% of the replies here don’t even really understand what vehicle the OP actually has.
It has pluses and minuses for the application the OP is considering.
That vehicle will handle a 7000lb trailer pretty well and have power and brakes for days.
However that vehicle is NOT made to handle a 7000lb trailer per se.
Aside from taking a $60k hot rod suv and beating on it with a big trailer attached, most notably I believe you’ll tear up the rear Bilstein ADS suspension by bouncing a big trailer off the back of the rig. It’s a sports car suspension not a truck suspension.
That said, properly setup it should tow well. I’m just very skeptical about the application vs the type of suspension. Have owned 2 different SRT8s and understand their systems pretty well.
Be prepared for increased wear and tear if it works is my only advice.