When I first got my 26' Toy Hauler I puled it with my 2002 Tahoe (I had previous trailer experiences). It did it, but it wasn't a great match and eventually buying the much older Suburban 2500 as a tow rig (for $3k) made such a huge difference. That said, I did tow it with the Tahoe several times, including US-101 through Oregon and over I-90 Snoqualmie Pass in Washington.
Reading between the lines I am assuming you don't have much trailer experience behind the wheel yet. I'm going to start with my additional suggestions:
First, get out and just tow. Tow both trailers around your neighborhood and around an empty parking lot to get the feel for it.
- Practice hooking up (so much easier now that pretty much everything has a rear camera),
- See how the trailer follows around corners (i.e. how bad it cuts the corner),
- Practice backing up with the trailer,
- Be patient on the acceleration (not saying intentionally slow it, just that it won't do what you're used to and that's OK), and
- Practice backing into parking spots (i.e. campsites) before going out.
Nothing highlights the skill of a proficient trailer hauler (or rookie) as does backing. The worst hit to your ego at a campground without any damages even occurring is having someone else come over to offer to back it in for you (seen it happen, never had it happen fortunately).
Second, if the trailer has electrically controlled brakes, your brake controller needs to be set to control them properly. Properly set trailer brakes should slow & stop the trailer for you while the truck brakes stops the weight of the truck ... maintaining in-line control and stopping where you want it to stop. Even is technically best, but it's if not even it would be better for the trailer to pull on the truck a little slowing the truck than it would be for the trailer to be pushing the truck to make the truck stop the trailer (hopefully) or jackknifing it. And you'll need to learn how to use / activate the trailer brake manually from the controller as well.
Third, in addition to the weights identified (truck, trailer, and combined weight) also weigh the trailer tongue weight (especially on the travel trailer). All of these should be the loaded & packed weights. This was one of the biggest factors on my Tahoe not being a great match for my Toy Hauler; it ended up bending an axel!
And finally, my x2 (or 3+) to a lot of the suggestions already mentioned:
- Weight distribution w/ sway control
- Transmission fluid & oil changed regularly on severe service schedule
- Transmission mod (& keep the DIC on the transmission temp on hills)
- Tow/Haul mode is your friend, at least for a while
- Brake management: heavy on to drop speed below desired, then off to let them cool
- Consider benefits and risks of the use of M-mode to downshift as needed to protect the brakes
- Speed limits are for cars, instead consider your control limit ... slow down for curves and in windy conditions
Oh, and play East Bound and Down (Smokey & The Bandit) on the first real trip, but don't actually worry about the "short time to get there".
