Easy drive. We take I70 west through the mountains probably a dozen times per year. Nothing to worry about.
There is a Walmart in Wheat Ridge off I70 and Youngfield, probably 15 miles closer than Evergreen. Only reason I mention it is there is a grocery store, liquor store, and a couple restaurants all in walking distance. There are always RVs parked in the lot. Might be a better option.
Last thing, is I would avoid I70 west past Denver on a Friday afternoon/evening, and don't come back east on a Sunday night. Way too much traffic during those times.