I was just out to the Utah backcountry for the Caveman fly-in with my 170. I have a C-145 but also a 80'' seaplane prop and a Sportsman STOL kit, so I have a little better performance than stock. I went into several strips while I was there. Most of them I had my 115lb wife and 80lb dog with me and I'm 210lbs. I flew early in the day and felt my performance was adequate at all the strips I visited. I went into Rustler Canyon, Simplot, Happy Canyon, Dirty Devil, Mineral Canyon, Horseshoe Canyon, Keg Knoll, Hidden Splendor, Dolores Point, Gateway, and Mexican Mountain. I even had the rest of my camping gear, probably about 80lbs, when we left Mexican Mountain and it was at least 70 degrees and I did fine. I think if you fly as light as you can and plan on taking off when the temps are cool you can get into a lot of places with your 172. I would suggest Angel Point for starters, as others already have, then Mineral Canyon. You will get a good idea how your plane is performing out of these two strips then decide if you want to try some of the others in the area. Just keep in mind some strips are rougher and softer than others and you may eat up more runway on takeoff.
1953 Cessna 170B