Black Dragon Wash
I don't have the GPS coordinates handy, but it's about 13.5 miles west, southwest of Green River, Utah.
Green River is a scheduled overnight stop, the previous night is Monticello, Utah.
So, you probably won't make it in two days.
You can change the schedule a little bit and maybe make it....
Instead of stopping in Lake City, Co, push over the next few passes and stay in Silverton.
From Silverton, ride to just past Dove Creek to the state line, turn right, go a few miles and you are back on route such that you get into Moab for the night.
That's about the best you can do... I've done Moab to Salida as a day's ride, but it's long....