When are you planning on heading out? Monsoons are supposed to be starting this week, so hopefully the restrictions will be lifted soon. I'm doing it the 19-22nd of this month, so I should be able to give you more beta after that. What I do know, is dispersed camping is allowed; however, anything above treeline is fragile and is not supposed to be driven on. I've camped on it before, but because it takes so long to regrow, parking on anything other than dirt can result in fines; this is a bit limiting, but you can find a spot lower in the trees around most passes.
As far as fires are concerned San Juan NF, Uncompaghre, and Gunnison are all in stage 2 restirctions (no campfires, only gas stoves/grills that have an off switch are allowed), no firearms, no smoking allowed. While much of the route is BLM, but they are all following the NF's cue and in stage 2 fire restrictions as well.
I'll update this after my trip or as I get news.