Look into native groundcover species for your local area, to see what might have a fighting chance against the crabgrass, and plant that. And let it get a little bit longer, a lush carpet you can stroll through rather than a mat you can tread on. You’ll still be pulling out some crabgrass tufts, but many groundcover plants don’t need mowing at all, or at least less than grass.
Look into native groundcover species for your local area, to see what might have a fighting chance against the crabgrass, and plant that. And let it get a little bit longer, a lush carpet you can stroll through rather than a mat you can tread on. You’ll still be pulling out some crabgrass tufts, but many groundcover plants don’t need mowing at all, or at least less than grass.