Having said what I did above, I use a red-dot for 70% of my handgun hunting, open sights for 25% and a scope for 5%. I don't do much target shooting for groups. I sight my gun in and achieve the best groups and than I stick with that. I do practice shooting weekly with my handguns to stay proficient, I just do shoot targets for groups or paper punching.
I find a red-dot to give "me" the best performance, it is a real advantage in low light conditions like heavy woods and the last 30 min of hunting. The cons of a handgun scope are, not as fast target acquisition and you can't see the cross hairs in lower light conditions or on dark animals in lower light conditions.
My order of how I choose my sight for hunting are as follows, red-dot is my first choice, iron sights and then a scope. Now if I am out in the open hunting, and have lots of light and a good rest, a scope is what I would go with. I am not saying a scope will not work, because I have kill a number of game with a scoped handgun, but I killed a lot more with a red-dot or iron sights.
My red-dot of choice is the Ultra-dot Match dot or the Ultra-dot 25 mm. I was not to impressed with the Burris Fast Fire.