For reasons of marital harmony, I don't hunt. Which is to say, I don't pull the trigger. But someone who'll do multiple trips carrying meat back to camp and is a decent outdoor cook is really popular on a hunting trip. I've really enjoyed trips to Adak, a caribou-infested Aleutian Island with spectacular scenery (if you like grassy volcanos in northern seas - rather like Iceland without all the pesky Icelanders). Anyway, that's maybe a good overlap of hunting and hiking. There's a lot of hiking to do to get to the 'bou because they've learned to avoid Adak town. And, then, if successful, lots of hiking to do to get back. Almost everyone tries to get back to town each night, so if you're prepared to overnight, that opens up the whole island instead of just a few miles around town.
And while airfare can be up to $1300 round trip, your Alaska Airlines miles are very well spent on a Adak trip - 15,000 miles for a RT. Maybe dangling a trip like that in front of your DH could be motivation for a joint trip. It's a hunt that just calls for a lot of stomping around, unlike a lot of road and river hunting in AK.
Those are eagles circling a volcanic peak.