Check your state's hunting regulations and make sure it is legal to shoot them at night. All states have set hunting hours; what differs state to sate is whether those hours apply to "non-game" or "pest" or "nuisance" animals.
Here in Washington, coyotes are considered "unclassified wildlife" and can be hunted year 'round with anything you think you can kill them with. They can be hunted at night, except during some big game seasons:
In order to hunt coyotes in Washington State, a valid small game or big game hunting license is required (RCW 77.32.010). Coyotes are unclassified wildife and are not regulated by WDFW. Since they are unclassified, any weapon may be used to hunt them. There is no bag limit and coyotes can be hunted year round.
Hunting or pursuing coyotes with dogs is prohibited.
Coyotes may be hunted at night EXCEPT during the months of September, October, or November in any area open to a centerfire rifle deer or elk season.
Here is a link with some of the pertinent rules in Maryland. It looks like they are legal to hunt year 'round during daylight hours, and at night per some "furbearers seasons and bag limit chart". For whatever reason, it won't let me copy and paste any text. Probably want you to buy a copy of the regs or something:
https://www.coyotehunting101.com/coyote-hunting-maryland/
Beyond that, I don't know a darn thing about night vision scopes.