Hike for a ways and then hike for a ways more. Most of the area up high is in a wilderness area and that is the only way to get into it. You can try taking HWY 24 south out of Minturn to the Homestake Resevior road and then go up to the resevior which will put you up high and then hike from there.
Or if you want to get into the eastern part of it you can take the road from the Vail Pass rest area and head towards Redcliff and try some of the side roads to the north towards Vail Ski resort or to the south. There is one road a ways out of Redcliff that will take you right up to the top above treeline where you can look down onto the Resioulion Pass area that comes out of Camp Hale. If you follow the road down it will take you into Camp Hale. You will need 4 wheel drive in a couple of spots on this road if I remember it right.
I believe that there are some trails around Homestake Resevior, all that I have done in that area is fished a little until I found out that all the fish in the main resevior are stunted from no feed. But there is a small lake above it that does hold fish but I never made it to that one.
The area above the Vail Pass rest area has a lot of roads from logging operations that went on there. You may be able to get away from people but I am not sure of that. Also the road that comes out at Camp Hale will also have 4 wheeler traffic on it not to mention regular truck traffic.
One other spot that I didn't mention is out of unit 44 that goes back to the east and unit 45. You can drive a car to the parking area that has the trailhead that goes into the wilderness. There is a early season deer hunt that goes on in this area of the Holy Cross Wilderness that is in units 44, 45, and 444. I don't know how far the hike from the trailhead to unit 45 is since I have never gone into that area. To get there you take the Sylvan Lake road out of Eagle pass Sylvan Lake and then to the top of Crooked Creek Pass then take the road to the east.
In the spring of 2007 I was the unfortunate recipient of an injury cause by a damaged carbon arrow that shattered on release of the arrow. I was in the yard going to take a few practice shots before dinner and the second arrow is the one that did the damage. That day will forever be burned in my mind. After I release what happened I made mistake #2 I pulled the tail shaft of the arrow out of my hand causing more damage.
Thank goodness that my wife was home and was able to...