Can we tow 37' TT w/ Ram 2500 Diesel SRW w/ good stability?

Mine is 34' long, 9000# and I believe is close to the limit of how long of a traditional trailer I would ever tow.
I have a Dual Cam #1400 and it's tightened down hard. It tows stable but it's a minor adjustment away from pushing the truck around.

Frankly, unless you have a canopy or some other reason you need the back of the truck (like I do), my suggestion is to go to a fifth wheel.
It WILL be more stable.