Check your manual. It specifically says your truck will give you a warning when the engine temp reaches 250, and when your tranny temp reaches 260 - this is for any of the GM trucks, as this manual is not model specific. It goes on to say it is normal to see temps reach close to those numbers while towing uphill. The tranny and/or engine will warn you first and if it goes beyond those temps will go into a sort of protective limp mode before it will let the engine get damaged, and the DIC display will indicate to pull over and let engine idle until it cools down.
I recently pulled over I-70 in Colorado on a 7% hill for several miles towing our 12K lbs fiver with a 2005 Duramax, and my temps got to around 230/235 on both engine and tranny, but they held there until I reached the top of the hill. I was only doing about 37mph for a good part of the hill, but I didn't want to force the truck to try and go faster and get hotter. That's an extreme hill and extreme distance pulling a heavy and large profile trailer, and most people won't come across that type of hill very often. We have a lot of hills here in California, but I had never towed up one that steep for that long, so yea, I was sweating a bit, but after I checked the manual and did some more reading from other owners, I found those temps are not unheard of.
I know you don't have the Duramax, but the manual (non-engine or truck specific) does indicate that at those temps (250 engine and 265 tranny) will give you a warning. So at 230/235 you're still good, as long it appears to hold there or get cooler after the clutch fan comes on (if your truck has one).
2010 Keystone Cougar 324RLB
2005 GMC 2500HD Duramax/Allison 4x4 Crew Cab S/B
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