From Schoefield Pass to Denver would be a tight, no traffic/no crashes/no tickets 6 hours. If you want to be there by 10pm you need to be out by 4pm. (If you don't park at the top of Schoefield Pass you run the risk of being mud-bound on the trailhead side of the pass in the event of a thunderstorm. Different story if you have 4WD - you'll save a hour of walking.)
Assuming you start hiking at noon on Thursday, you can get it done. I live at 7600 feet, routinely do 4 hour hikes to 10,000' and back, and frequent 8 day 120-150 mile trips. I had to Hump to get it done in 2.5 days and 2 nights. I was looking for camp at dark-thiry. Big passes, most likely with snow, and always unknown weather. Not much time for pictures. No time for coffee.
Yes, many do it as a 1 day run.
Is it worth the anxiety of wondering for 3 days if you'll make your flight?
So, it depends why you want to do it. To check it off, or to enjoy it.