Get a 3" by 20' strap at least. 30' would be even better. A shackle or two is always a good idea, since lots of vehicles have only two loops, not hooks. I also carry a smaller shackle that I can use to drag cars around by their tow points. I'd also carry some sort of receiver for the hitch, if your truck has a hitch. A standard no-drop reciever with no ball would be my preference, so you can pin the shackle through it and solidly connect the strap. Or a shackle mount for the hitch if you have one...
An extra hitch pin never hurts either. In a pinch, you can cram the loop into a hitch and put the pin in and pull fairly good. A hard pull on a heavy truck and you're going to bend the pin, or possibly break it, but lighter vehicles don't seem to do any damage.
Unless you're really pushing the limits of your new truck, not much more should be required. Even my old standby the hi-lift stays at home these days... It's useless with most modern bumpers anyway.
I would also suggest some other "equipment"...
I always carry a tire plug kit. The rocks around Ouray can be sharp. And with road miles comes the worry of picking up a nail, screwdriver, file, etc. Plugging a tire is so much less hassle than changing one, especially on the trail.
I also carry a 12v compressor. The $30 compressor from HF has worked for me for YEARS. I have OBA in the Jeep, and a hard mounted Viair in the truck now, but I still use my HF compressor occasionally. It gets pretty slow above 40PSI, but you shouldn't need more than that for normal use anyway. Fill up to higher pressures at a station.
Of course a simple tool kit is a good idea, even on a new truck. Never know when you might have to vice grip off a brake line, or tighten a loose fitting or clamp or bolt.
If you do plan to go offroad, you might see if the lowest air dam under the front bumper can be easily removed with a few screws or push rivits. Pulling it keeps you from mangling it and leaving pieces of it on the side of the trail...
Even if you don't end up using these things on your truck, you may meet someone less prepared, and it's always nice to be able to help out someone else. (Karma and all that...)
I'd also suggest that for the trails in the San Juans, you'll probably want to air down some, if only for the improved ride. The trails north of Silverton are not terribly difficult, but they are fairly rough. Dropping to ~30psi for a mostly empty truck would be appropriate, and would not be a problem for shorter or slower trips down the tarmac.
Aside from the heat in Moab, it should be a good trip!! I had heard that the road to Animas Forks is now plowed open, and there are several HUGE slide areas along the way.
Have a good trip!!!