Armadillos and deer hunting land don't go together. They become so numerous you may have 4 or 5 come out of their holes at prime deer hunting time and root like miniature pigs all around the base of your stand, wattling to and fro and sounding like someone is dragging a log chain through the woods. You will almost never see a deer when the dillas are about.
The only solution for over population is to thin the herd, they don't have any natural enemies, coyotes won't kill them and will only eat them after you shoot them.
We had 125 acres of prime hunting land that became over run with armadillos to the extent that we seldom saw deer anymore. I went on a mission to thin them out, killed 25 and the land became prime deer hunting land again.
I killed 11 two years ago on the 350 acres we hunt now and it looks like they are rebounding to the point that another concentrated effort to remove them is going to be necessary.
We didn't have the first one on our current hunting land until 5 years ago. They are spreading north and like wild hogs when you have them you have them and nothing can get rid of them.
One observation I have made from killing so many is you can walk right up to the first couple you shoot. After your initial kill, you can find one a mile away and it will run from you before you can get within 50 yards of it. They must send out some high pitched, ultrasonic danger sound when you blast one that puts every other armadillo in the area on high alert. This has been my observation and has no scientific basis what so ever.