First time backpacking

Hello, my name is Andrew, and I am new to backpacking. I have hiked a little bit though, and I am in good shape. My question is, what is a good challenge for my first backpacking trip, one that will be an epic adventure worth of the walking and it will be a nice place to camp. 1 night 2 days. So as epic as can be. Solo. This will help prepare me for future longer backpacks when I have more time. I am going on Monday, Tuesday. I have been to Mount Timber. Mount Wilson. I keep in good shape, so fitness wise, pretty much anything should be fine...so what do you think? I would like solitude I think. Never been camping before, but think I will love it. I got all my gear setup. Thoughts? Thanks so much!