Living in the northeast I have no experience with armadillos. Why do people shoot them? Are they destructive in some way?
You are very fortunate to not have them. Can be extremely destructive. For example, approx 2 weeks ago, on 2 consecutive nights/mornings, I had approx mid-400s digs followed by around 500 digs. The norm is anywhere from 10/20 to 100. The digs range in size from ping pong ball to tennis ball. These digs are in my immediate yard (large yard but ....). Most folks believe it's due to an abundance of grub worms. I have little to no grubs. They also like red worms, earth worms, fire ants, etc. I have zillions of earth worms (good soil).
I currently have 6 cellular game-cameras deployed for them. I get the pic on a phone app, grab the gun and go for the kill. Gets very, very old but the alternative is unacceptable. Sometimes I might go 2 years without incident. It's environmental for sure due mostly (imo) to their being squeezed out by construction, logging, etc.
99% of my engagements are with a mounted visible laser. Gun has a small Venom red dot but rarely used. Mostly between 11pm - 5 am. Before the cameras and when I was being hit, Staring at around 9pm or so, I'd go out about every 20 minutes or so. This would last til 1-2am. Just couldn't stay up that long anymore as my normal wake up time is 5am. Did that for years.
So yeah, armadillos suck.

