We have driven I 70 (eastbound) a couple of times. once in a 36 foot gasser pulling a 4,000 pound car. It was slow cresting the high point, but we made it with no issues. We did not stop for other than a driver change in a pullout. Our slowest speed was 28 mph on the steepest grade, in the gasser, 4,500 rpm in first. The diesel with a 5,000 lb tow'd just walked up the grades.
It is an Interstate with plenty of traffic, much of it slow on the grades. We ran from Grand Junction to well pas the mountains before stopping for the night. Didn't look for over nights, but there should be plenty, it is tourist country.