Answer
See below.
Work Step by Step
UT $\rightarrow$CO$\rightarrow$WY$\rightarrow$UT$\rightarrow$AZ$\rightarrow$NM$\rightarrow$CO would be a good order
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.