Thank you for your question about native ground covers. The following OSU Extension publications describe a variety of ground covers that grow well in Central Oregon and indicate native plant options. Plant descriptions, growing conditions and photos are provided:
Fire-resistant plant profiles: Groundcovers | OSU Extension Service (oregonstate.edu)

Water-wise Gardening in Central Oregon | OSU Extension Service (oregonstate.edu)
(note pages 39-43)

Selecting Native Plants for Home Landscapes in Central Oregon | OSU Extension Service (oregonstate.edu)

The OSU Deschutes County Extension website provides many helpful publications about gardening in Central Oregon. Following is a link to this website, which will direct you to a variety of gardening topics specific for our geographic area and climate.
Central Oregon Garden Publications | OSU Extension Service (oregonstate.edu)

If you need additional information, I recommend you call the Deschutes County OSU Extension office in Redmond at<personal data hidden>. Ask to speak with Amy Jo Detweiler (oregonstate.edu), a member of the Horticulture Staff. Amy Jo welcomes your home garden questions and is a great resource.