For what its worth, WA has a late season OTC archery tag for the east side of the state. Its only good for a spike or a cow, but some of the units that are open are their wintering grounds. Runs from Nov 23 - Dec 8. But, you're also looking at $183 for non-res. lic. and $497 for a non-res. tag.
Cow hunts in mt in certain units open till February 15 courtesy of shoulder seasons. Should be a slam dunk with the over abundance of elk we have here! (So we're told)