I suppose you could ask what it is about hunting or shooting that he does not like. Then maybe you can adjust accordingly. Like maybe he doesn't want to sit for extended periods. I really like still hunting, so I do that when conditions are right.

Hunting that involves calling is also a change of pace, such as waterfowl and turkeys.

Just keep the offer to go hunting on the table. He may surprise you one of these days/years. What else can you do?