Why not tow with a CVT?....
I have driven a CVT vehicle (Ford BMax 1.6L ) a few years ago, and as a solo vehicle it worked well, but it did take some getting used to. Its counterintuitive to have the engine at high RPM and the note barely changing as you accelerate. I felt disconnected from the engine.
But the way a CVT work is to keep the engine at it optimum rpm for maximum efficiency, and to match the cvt ratio for the road speed and load. That makes a lot of sense, and also, provided the load sensing systems are working correctly then it should also work for towing.
However CVT boxes in cars are often not designed for vey high torque usage so presently towed weight limits are low or not even provide for some CVT's.
Does anyone else remember DAF cars and of course Invacar's which also used CVT's and centrifugal clutch. The ones I remember seemed to spend quite a long time at the garages being repaired or having new transmission belts fitted.