It all depends what time of day you are going through Denver heading into the mountains west bound on 70. It gets tough to find a parking place west of Denver not many truck stops , a few rest areas. The thing about it is if you are on 70 west of Denver after say 8 pm it is hard to find a place that isn't full.
If it were me I would stay in Bennett , CO for the night and leave about 9 am and miss the back up in Denver and then you can go across Co that day and you won't have to try finding a place to stop in CO. Plenty of parking in Green River, UT .
The truck stops and rest areas are a lot bigger once you get out of the mountains and into Utah. I used to leave LA with my semi truck going that way many times and it was always a pain trying to park at night up there.