My limited experience
The wife and I flew to Moab from Baton Rouge. We enjoyed a couple of nights in Santa Fe (SAF). We had to drive to Cedar City, UT from Moab to see Bryce Canyon and Zion due to snowstorms in Mountains, but got in some nice April skiing at nearby Brian Head resort.
Made another trip to Cortez, CO (CEZ) which is near Monument Valley, Mesa Verde NP and Durango (Animas River). I think this would also be near your route and I like the airport.
Moab is awesome. Just be ready for wind. When it blows it can really kick.
John