Answer: I'd go with native grasses rather than trying to establish turfgrass. Lawns need regular watering, feeding and mowing; native grasses are reasonably trouble-free.
Examples of Warm Season Native Grasses:
Big bluestem 6-7?
Canada wildrye 4-5?
Creeping red fescue
I think you'll find some interesting landscaping ideas on the following website:
Best wishes with your landscape.
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