Congratulations, I am jealous. I am going to go out on a limb and assume you are not married
Since you are in Az, start your trip in New Mexico, work your way up to Durango area. From there depending on Run Off flows you could hang in the Rockies and kill most of the summer. Anywhere around Dillon you have the Blue, the Eagle, the Colorado, the Gore.
Them head south fishing the Arkansas and down the S. Platte.
Sounds like a good way to use up one month of your allotted time
Call you Forest "I just felt like fishing"
Chronicle the trip in pics I would love to see it