I don't know what kinds of sites you all like to do this sort of thing at, but my wife and I stayed at Long Draw campground up the 14 and we were the only ones there a few weeks ago. Drive right up to the sites, which may be nice for packing a ton of gear in. 's about my only suggestion, lol... I've only camped once in CO since living here. *gasp* We do most of our camping on the road, like we did a month-long camping road trip all over California a couple summers back. Great fun.
But anyway, Long Draw is like 11 miles off the 14, over a dirt road. Pretty "remote" as far as established grounds go. Beautiful location too. This was nearby:
EDIT: Oh yeah, but it was like $20/night... >.<