Two possible access routes but both involve Highway 82:
From US HWY 24 between Leadville and Buena Vista, take the State HWY 82 west, around Twin Lakes and to the summit of Independence Pass. Park at the pass summit.
From Glenwood Springs/Aspen, drive on State HWY 82 through Aspen and continue driving one of Colorado's most thrilling passes to the summit of Independence Pass.
On the east side of Independence Pass, designated Forest Service campgrounds include Parry Peak and Twin peaks. There are also numerous primitive sites all along Lake Creek. One of the best is here: N 39° 04' 54.99" W 106° 32' 21.86". This is where a diversion tunnel empties out into the Lake Fork and is just under 2 miles past the turnoff for the south fork of Lake Creek.
On the west side of Independence Pass, there are designated Forest Service campgrounds at Difficult Creek, Weller, Lincoln Gulch and Lost Man. There are no good primitive sites, but you may be able to use the trailhead parking area across from the Lost Man CG.