My advise would be: Do not try to make a handgun into a rifle. Know its/your limitations, and hunt within them. Realize the differences between what you can do on the shooting bench, and in the real world.
I pick my handgun hunting deer stands same as I do for bowhunting stands. I like funnels or well used trails in thick cover, where if I see a deer, it will be within range. However my SBH has open sights, your combination with a scope may give you a bit more range. Still, limit yourself to a distance you are confident you can make a one shot kill. For me the challenge of using a handgun rather than a rifle, like in bowhunting, is that you have to have the skills to get close to the deer. Scent control, proper stand placement, wind, all come into play when you have to be right in there with the deer. Good luck.