Weapon depends on the time of year
In the late fall and early winter (think leaves gone) I like to chase the tree rats with my scoped .22 lr. During the summer and early fall (heavy foliage) I use the 20 guage with #6 shot.
The foliage hides them better and hides me better from them. That allows me some spot and stalk options. You can still stalk them when the leaves are off but the shots tend to be outside of shotgun range.