It will be tough to get anything sprouted in Misery this time of year.
I'd go with a mix of wheat, annual rye, fescue blend, and white (dutch) clover.
Broadcast is fine, then drag it in with a cattle panel or similar gizmo, then cover it up with wheat straw/old hay/whatever you can get.
If we get some mild weather soon you might get lucky and have some of the wheat sprout, but more likely it will be spring before you see it turning green.