The route you inquire about is a little ambiguous, since Co Rd 197 turns into other roads just a few miles south of the highway. Where do you plan to cross Carrizo Creek and Black Mesa? I am interested in such a route. It seems there should be a route to save the backtracking on US 160 and also provide some scenery.
A route that I have taken may interest you. From Kirkwell, CO, at the intersection of Co Rd M and Co Rd 8, follow 8 south approximately 11 miles to Co Rd C. Take C west a half mile or so, then south of Co Rd 5. You will cross into Oklahoma about 3/4 mile east of the CO/NM/OK tri-point. Continue east and south approximately 4 miles to the Black Mesa trailhead, or another 5 miles to Kenton.
I navigated this route with ease in a Chevy Impala in dry conditions. The main route should be good in all but the wettest conditions.
You can access Kirkwell one of a few different ways from US 160 east of Kim. Co Rd 8 south; Co Rd 3 south to Co Rd R east to 8; etc.
Detour to the state tri-point. It is kind of neat. Also in the area are the Picture Canyon and Carrizo Canyon areas of the Comanche National Grassland.