Pretty country for sure.
Might be still be snow bound after MOAB 2017 since elevations are mid-8,000 ft.
For example the Dixie N.F. Campground at Duck Creek is closed until May 12th, 2017.
I'ld give the Dixie National Forest a call for conditions. Maybe try their Duck Creek Village Visitors Center? Dixie National Forest - Duck Creek Visitor Center - US Forest Service
If you can't reach them, or if their advice seems government issue cautious then you might just call a local business. I have had good luck calling or e-mailing Chambers of Commerce, even realtors. Usually get helpful folks when you indicate you are planning a visit to their region.