I have been to Glacier Basin years ago and wanted to camp overnight here, this is a beautiful and less traveled destination, other than the lack of a lake a spectacular spot. You are surrounded on 3 sides by towering peaks. Most of the folks parking at the Barlow Pass trailhead are only going as far as the Monte Cristo townsite or to Gothic Basin (another fav) so if you want less company this is a good trip, we only saw two other parties camping in the basin and 2 day hikers. There are a couple of campsites at or near the end of the trail and a couple of flat spots in the meadows in the basin (plenty of streams for water) but if you roam another 20 minutes to the knoll at the back of the basin there are more and better sites up in the trees and a stream nearby for water. Early season there will be a lot of snow here to cross.
You hike (or mtn. bike) 4 miles of mostly flat road/abandoned road to Monte Cristo then hike 2.5 miles up to the basin on an un-maintained, brushy overgrown trail that is steep and rocky in places, no switchbacks as it is an old miners trail but it gets you up there quickly. Spectacular setting with only moderate effort to get there.