I previously owned a GMC 2006 5.3 and towed a 27' TT. I would regularly go over 200 (210+) when hauling over the mountains in western Virginia. It bothered me so much that I did have an additional transmission cooler installed. It went in front of the radiator, in the lower passenger side so as to not block the radiator. I did notice a fairly big difference. When temps did get high, they dropped much quicker. I thought it was a good investment.
However, I ended up trading that truck in for my 2008 GMC diesel, which hauled that TT over the mountains like it wasn't even there.
2017 GMC 3500 Sierra Denali, C/C, D/A, DRW, w/40gal Aux tank, 18K B&W Patriot.
2019 Cedar Creek Hathaway, 34RL2 - w/Bells & Whistles and disc brakes
Traded 2009 Cedar Creek Silverback, GII, 32 WRL