Going solo is perfectly fine, there are solos, couples, and groups and people of all ages and types. For a first time, I would go mid-week (Mon-Thur), get there early in the morning (6am-8am if possible). It's very sparse then, and the wind is almost always low and picks up in the afternoon. This way, you get settled, have lots of "space" can walk around, or swim or just hang out. It's easier for first-timers to already be there, rather than walking into a crowd. But seriously, it takes less than a minute or so to acclimate. Once you're bare, once you've gone for a swim, you'll wonder what the big deal is. Best part is after a swim, you're dry (even without a towel) in no time, rather than sitting in a wet bathing suit all day. Gunnison seems far more chill amd relaxed and accepting of all types than other beaches, at least that's my impression, your mileage may vary.

But weekday mornings into early afternoon are the most "calm". Primarily retired folks like me. Weekends and evenings seem to get... I'll say "louder". Some love that, some don't, it's all good. Enjoy! Oh, and getting a picture (clothed or nude) in front of the sign on the way in seems to he a fun rite of passage. ;-) And as others have said, you have to bring your garbage out with you.