The local shows have been pretty forgettable the past few years- as another poster mentioned. Basic, nothing special guns 200-300 above the going rate to catch the buyers that wont do the minimum homework. I couldn't recommend any. Likewise with pawn shops, only know of one in Las Vegas/ North Las Vegas that still maintains an FFL and its almost always all junk.
However, Las Vegas is a great community with a lot of fun things to do regardless of whether you are shooting or not. If you are staying near the Strip, 702 Range and American Shooters usually have some fun toys for sale and rental on their indoor ranges. If you have a car, the Clark County Shooting Park is about 20 minutes from the Strip- beautiful county-maintained range facility with rentals (only Beretta products because they are a sponsor) but also a couple local trainers operate businesses where they will meet you at the range and let you shoot their hardware (I've seen Class 3, .50 cal rifles, etc.). The only local shops i frequent anymore (and mostly for transfers nowadays) are Ventura Munitions, New Frontier Armory and Lock N Load, and they are all pretty decent and run by nice enough guys.
If you are looking to get off the Strip at any point and have access to a car, take a run up to Red Rock Canyon, or up to Mount Charleston to beat the heat (It's been 100 plus for a couple weeks now). Beautiful scenery all around and right outside of town. A little further away, the old downtown section of Boulder City is a nice little 1950s type area with a bunch of restaurants, bars and shops, including one pawn shop with a decent gun selection if you get out that far.