Hope you get on the mend soon.
Red clover and Timothy would be my choice here.
Late winter frost seed. Use a broadcast seeder.
No reason you couldn't plant red clover and oats in late summer/early fall as long as rains are I the forecast a day or 2 before seeding.
Assuming not worried much about overgrazing on new grass w a few mules.
I would want any clover in the pasture. Mules go right to it and ignore the grass and get too fat. Although mules don't founder a much,they still will with enough green clover. Mules can't stand too much prosperity.