Good suggestions for you. Something to be aware of, there is a massive construction project going on for I-25 between the Berthoud exit (CO 56/Exit 250) and north of the Loveland exit (US 34/Exit 257) with narrowing lanes, lane shifts and huge periodic backups in both directions. This is all north of Denver. Was just in Denver yesterday, all of the construction projects from downtown north to Berthoud are all completed so no problems there.
A suggestion to miss Denver and the construction would be to stay on US 287 up to Limon CO where you can take CO 71 north all the way into Nebraska (stays as 71 except NE 71) where you can get on I-80 and take that west to I-25 in Cheyenne. Very easy drive, CO 71 is a good roadway but no fuel stops between Limon and Brush CO.