Forest Service Travel Map of Dixie N.F. around Bryce:
Dixie National Forest - Maps & Publications
Scroll down. The section you want is 2011 Travel Maps
, and the map of the area around Bryce is Powell Ranger District 2011 Travel Map
. After you download it, note offices and phone #s on one of the panels (scroll down to area that includes Bryce). Campgrounds are marked.
Here is the web site for Dixie N.F.:
Dixie National Forest - Home
There may be other areas of interest to you.
PM me if you want more info on the general area. There's lots to see and many places to camp, depending on how adventurous you are. The highway over to Capitol Reef is quite nice, with many places to camp, and usually less people.