The Navajo National Monument (Betatakin) is well worth the journey.

It's completely free and has perhaps the most wonderful 13th century Anasazi ruins around, accessible on a guided 6 mile round trip tour. You will be taken right into the ruins and be told a history by your local Navajo ranger guide.

It is not a wildflower scene, but really wonderful high desert scenery.

It is located SW of Monument Valley.