There used to be all these camping guides that were put out by Rand McNally, Coleman, and others. I still have a collection of those, although they've all been out of print for years, so their information is hopelessly outdated in some cases. The NF official website will give you some info, but ForestCamping.com is better, more detailed. And somebody is keeping it up; I often see updates from within the past 2-3 years.
Almont is nice. Although for car camping instead of bikes, I'd look hard at the sites toward the right as you & I came in. You get a great view of the river there.
There's a campground a little farther up called Cement Creek that we've been going to since 1961. It's 3 miles off the highway on a gravel road. Beautiful creek, beautiful campsites if you can get one of the ones that backs up to the creek. The ones away from the creek don't have a lot of shade. High, picturesque granite cliffs on the other side of the road. And if you don't mind getting your teeth jarred, you can drive a long way up the road past the campground and enjoy some nice vistas; also some of my favorite walking trails are right there. There are 2 problems with this campground: (1) The state cut off the water a few years ago, so you have to fetch your water from the little grocery store out by the main road, or drive up to Crested Butte and use the ranger station's water. (2) People on dirt bikes and 4-wheelers love that dirt road, and some use the campground as a base. No problem for me, except that there's often a LOT of noise from small engines revving as they go up the road. It isn't as quiet as it used to be. The campers are usually careful about their noise. but kids from town don't think about it, and make an awful racket as they go by.
If you want to free-camp, there are all sorts of places along that road (Cement Creek Road) on the river side, just before & after the campground. The outhouse is nearby, and the campground doesn't have water anyway, so all you're really losing is the picnic table.