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

37' is a long TT, but lengthwise definitely towable with your truck. I have a 37' ultra-light that I tug around with an F150. My weights are about 1000 on the tongue and a little over 7k loaded and ready to go. A long TT will pull a little different as the wind has a lot more leverage on the truck. I did do a few modifications to my truck to get things very comfortable. Given you're pulling with a 3/4 ton, you should be able to dial things in with a good WDH.