Drive em up or winch em up?

[69rsss350]

I bought the trailer with unfinished floor and sides. The fender wells measure 11" and I measured my door opening at 11 1/2". I plan to tile the floor and put in some kind of aluminum tread plate (diamond cut?). This should raise the car up a little more, so hopefully getting in and out shouldn't be a problem. I live in Albuquerque and plan to attend the Super Chevy Shows in Denver (465 m.) and Tucson (450 mi.) What vehicle do you use to tow? I have a 99 K1500 Suburban 5.7L and am a little concerned that it might stuggle.