No need for trailer brake controller installed on the truck, the uhaul/penske trailers use an inertia system to apply braking pressure. I towed my T/A up there from NC using my Tahoe with no brake controller just fine. Come to think of it, the Penske truck I moved back to NC with didn’t have a brake controller either and I used it to tow the BMW.
OP, check out Penske too. I know for my move, they were cheaper than Uhaul. Probably not worth it if they aren’t conveniently located to you though.