I haven't backpacked in 20 years, but I've got a funny window to do just that this month: all of a Sunday and Monday; I can also leave Saturday night around 6:00 pm, which could be enough time to reach a trailhead and find a campsite (maybe). (I wish I had one more day so I could hike for day, have a summit day, and hike back for a day...but I don't.)
I want to build this trip around a summit opportunity, and ideally one that I couldn't do in a day hike -- I want to make the most of this trip! Building it around more than one summit would also be fine. I'd love to summit a peak over 11,000 feet, but that's not a must. I live in the Salt Lake valley and can reach both the Wasatch and Oquirrh mountains in around an hour; I'm not sure about the Uintas.
For context, I'm kicking the tires for an August trip to King's Peak; I want to see what works and what doesn't, be forced to find and purify water, try my stove, etc. I'm reasonably fit. I'm nervous about Class 3 routes, but I've done one (Mt. Olympus) and it turned out fine; I need to get over that nervousness. Class 3 is likely my limit for now, though.
Given those parameters, where would you recommend I go? Thanks in advance!