I've been accused of "over-scoping" but I go with a 3-9 (or above) for all my hunting. I don't care if it's 300 yards or 25, I want to see exactly where I want to hit.
With that said, there are a couple options that might be good for both purposes. The question is (as usual) what is your budget? If the sky was the limit, I would get a Leupold Mark 8. If your budget was just under "unlimited" I would go with VX-6 1-6 or 2-12. MB used the 2-12 in Africa, but his shots were significantly longer than your living room. If your budget was still high, I would go with a VX-3 in 1.5-5, the lower magnification being better for HD, or something with more magnification as a better deer scope. I use the VX-3 3.5-10 on my deer rifle. In case you can't tell, I'm a Leupold fan. But I've also killed 3 deer at ranges from 7 yards to ~150 with an EOTech and no magnifier.
There are a couple budget options I have been looking at lately. Primary Arms makes some really good optics, judging from what I have read and talking to guys that sell their products. Their Aimpoint-style red dots are really bright and clear even in daylight and the guys at Midwest Industries said they have sold hundreds of them and had only 1 come back because a guy couldn't get it to mount right on his AK. They also just released a 1-6 scope with what I would consider a "combat" reticle. If you know how to use it, it could make a great deer scope too. It has an 8 mph lead mark, which may work decently for a shot at a running whitetail. Also, it has some range and height estimation features that could also be useful for hunting. I've never used scopes like this, so ymmv, but I have always been intrigued by them. Lastly, they have a 1-4 illuminated reticle scope for $120 that looks like an excellent option. I'm seriously considering getting either the 1-6 or the 1-4 as a 3-gun scope.
https://www.primaryarms.com/Primary-Arms-Rifle-Scopes-s/919.htmIn reality, your two uses (HD and hunting) can share a lot of good scope options, but personally, I would think about what I would use it for most (hunting,) and that's where I would spend my money. The HD part would only come into play in lowering the magnification I will use in order to make inside shots more do-able. As always, this is just MHO, so take it for what it's worth. Let me know what you decide.