If you can get a permit & still have some water the San Juan from Bluff to Sand Island is nearby. The Colorado River "Moab Daily" is a fine choice with several put-in / take-out options, excellent views, a few fun rapids and good camping. I've heard the 15 miles from Glen Canyon dam to Lee's Ferry in Arizona is a wonderful float. The Green River Daily just north of Green River, Utah is a quiet place to camp and spin a few laps. The Rio Grande near Toas, NM could work too. Have Fun.