Hi Kerry,
Thank you for your question about how to eliminate cheatgrass, and possible native plant replacement options. As you know, cheatgrass is very challenging to eliminate from your landscape.

For smaller infestations of cheatgrass, mechanical methods such as hand pulling are recommended. Planting other more desirable ornamental grasses may keep the cheat grass minimized by creating competition in the garden. Unfortunately, there is no easy way to get rid of cheatgrass.

The following Extension publications provide more specific information:
How can homeowners eradicate cheatgrass?

Cheatgrass can be removed by hand pulling or mechanical techniques (i.e., a lawn mower, weed whacker, disking); remove the grass before it has time to mature, produce seed, and cure (turn brown and die). Once cheatgrass has been removed, rototill the soil to a three- inch depth. Plant the area with desirable species, water properly, and maintain.

Mechanical Treatments
Hand pulling – during spring and fall; repeat when new plants appear; effective in small areas only.

Disking/tilling (live plants) – spring and fall before the seed heads turn purple; repeat when new plants appear; use disk, rototiller, spike-tooth harrow, etc.

Mowing – not recommended as a long-term control technique as seed may be produced by mown plants.
Sources:
Cheatgrass and Wildfire - 6.310 - Extension (colostate.edu)
Cheatgrass | solvepest (oregonstate.edu)

Regarding native plant options, the following OSU Extension publication provides a list of waterwise plants, groundcovers and grasses, including natives:
Water-wise Gardening in Central Oregon | OSU Extension Service (oregonstate.edu)

If you have a significant amount of cheatgrass or need more specific information about native grass/plant options, I recommend that you contact Amy Jo Detweiler, our Community Horticulturist, at the Deschutes County OSU Extension office,<personal data hidden> ex. 7951. Amy Jo may have additional ideas for your situation and can recommend native grass seed options. Amy Jo is a great resource and welcomes your garden questions.