We have a 17A, and tow w/ a 2011 Honda Pilot 2WD. With no bathroom, our 17A is lighter than the 17B by a couple of hundred pounds. We are typically at 2500-2600 lbs. with our gear. With your 17B, I would expect you to be approaching 3000 lbs., with tongue weight at 350 lbs.
Our Pilot is fine for towing, with good power. We camp a lot at 8000-9500 ft. elevation, so high altitude and the mt. grades slow us down some, but that's true of any V6 in the 250 HP, 250 ft.lb. torque range. If considering a front-wheel drive vehicle (SUV's, typically) we would recommend AWD/4WD rather than our front-wheel 2WD, for the traction advantages, particularly for slippery conditions or unpaved roads.
The 17 model is 12 feet from ball to axle, so it is a very stable tow. I've never been able to even induce sway. You might want to use a weight distribution hitch (WDH) for its weight distribution advantages, but with our Pilot we don't.