'03 is about $3k too high for this region. They're great SUVs in general. So nice we bought'em twice. 3x actually, started with a '99 Tahoe Z71. Good power, relatively trouble free, room enough for everything. Keep looking, you'll find more 4x4 versions up there and San Bernardino / Riverside way. I just bought my '02 K1500 Sub Z71 out of Downey for $6k total out the door, tax, registration all of it. But I can't recommend the used car lot, buttholes took months to turn over my title.
There are several topics in the last several weeks about known and regular maintenance issues, almost all minor. The LT / LTZ have a pretty decent towing setup, but the 4L60E trans has a(n undeserved?) rep for not taking a terrible load often. A quick search in this subforum should turn up several general topics on Suburbans, the same mechanical and drivetrain info obtains to the Tahoes / Yukons. Also if branding doesn't matter, look for the GMC Yukon instead, same vehicle different badging, they generally sell for $1000-1500 less for no good reason.
Our Tahoes ('99 and '05, pretty much the same drivetrain and package) hauled a boat to Lake Isabella a few times, as well as full tandem axle uhaul trailers there, up to Fresno and over the Grapevine a few times as if it wasn't even there. Just had to watch the heat on the steepest / highest grades. Literally a 100+ trips over the Grapevine and up into Isabella heavily laden or trailering, had a vacation / investment house up there for 11yrs, spent most of it doing home renovation projects up there, tile tile and more tile, heavy lumber for decks and sheds. The Tahoe took it just fine, 146k mi on it now, still regularly commuting from Santa Clarita to Burbank without any trouble at all.
Don't know about the '97, but the next gen ('99-) the rear A/C is all in the right rear quarter panel with the ducting going up the pass side 'C' pillar. Can heartily recommend the 5.3L and 5.7 in the older model. All get between 13-14mpg depending on abuse. Unless you have a huge travel trailer, are traveling in the Rockies or trailer a lot of ATVs / OHVs, the K1500 will get it done just fine. Big family and heavy trailer loads, better step up to the 3/4-ton / 2500 series and bigger motors and heavier duty brakes.