There is an
RTD (Denver) bus that goes to Pine Jct via 285. You can take the bus from the
airport to Pine Jct.
From Pine Jct you can take the Gunnison Valley transit:
http://www.gunnisonvalleyrta.org/den...s-schedule.php
It goes to Jefferson from Pine Jct via 285, which means it goes OVER Kenosha Pass.
I'm sure if you asked nicely, the bus driver would probably drop you off there at the large parking area.
Greyhound drops hikers off at Molas pass, for example.
It is kind of late in the day and you'll miss the bus to Kenosha Pass. You may have to stealth camp (easy enough in this wooded area. The 'town' of Pine Jct is rather small) or hitch. All the traffic will be going in that general area. Bailey, a resupply town for the CT is the next real town up the highway. From Bailey, you go over Kenosha Pass to Jefferson. At the very least, you could do a longish two stage hitch. There is a LOT of traffic on this road..esp on a holiday weekend.
FWIW, Pine Jct has a good bar and grill ( Cross Roads Restaurant) I go to for post Lost Creek Wilderness hikes.
There is a good chance I'll be out of town 4th of July weekend myself.