Central Oregon has a number of great potential destinations for snowshoeing. Most of those opportunities are based out of sno-parks. Here are some very helpful trail maps you can download to your phone to help navigate them. Each of these shows all the trails accessible from each sno-park. Thanks to the Forest Service for creating these great maps. 

Deschutes National Forest
Virginia Meissner Sno-park
Swampy Lakes Sno-park
Edison Butte Sno-park
Dutchman Flat Sno-park (Todd Lake area) 

Ochoco National Forest
Walton Lake Sno-park

Be aware that winter driving conditions can exist, and make sure to take all safety precautions when snowshoeing.