I-70 has some real hard climbs, up to 11000 feet if I remember correctly. Contact zcasa (David Zonker) he lives in Denver and when he had his coach he drove I-70 with his 8v92. You shouldn't have a problem but it will be a long slow drive. I would recommend downloading the Mountain Directory. It gives a good description of the climbs and descents.
http://mountaindirectory.com/ebooks.html
I-70 has numerous pullouts for truckers to chain-up for snow so you should be able to cool down if needed. But I remember a lot of the towns along the highway just west of Denver had signs not allowing trucks into the towns. As long as your cooling system and brakes are in good condition it shouldn't be a problem. Just get in the right lane, go slow and enjoy the scenery, it's really beautiful.
Ron Skeen has driven that route before so I'd pm him also.
Good luck and enjoy your trip.