Anybody have a...

Very strong and accurate yet quiet BB/pellet rifle? Scoped hopefully.
We are having an issue with prairie dogs getting into my and my neighbors yards. I spoke with animal control and as long as I am not discharging a firearm I have the green light to eliminate the dawgs command.
With extreme prejudice.
I really can't afford to invest in one at this time and my 40 year old Crosman pistol isn't getting it done.
(no Randy, you can't come and play)

Or any other ideas to eradicate the little bastards in a lawful manner.

Yep, I've got a Gamo with a scope or Daisy 853C with aperture sights. Only question is, your cops don't consider an air rifle a firearm? Ours do ... :(

have a bolt action 22 with subs, and sound reduction muzzle device.

Rat Traps?

Tanzmanian devil and a sling shot, 12 pack beer.

Tell the neighbors to keep small dogs and kids in the house. Drown the Taz when done.

lobbed from my electronic ball and chain

Remington 510 with CBee caps. Almost as quiet as my other legal means.

I am a little far but I have one that would work.

The CCI quiet rounds are just as quiet as a suppressor out of a rifle length barrel. I did get one that wasn't subsonic though. That was an unpleasant surprise.

Otherwise, regular snares might work, but I'm not sure what you'd bait them with.

Suppressed nail gun. Itsmazing

A lawn chair, stocked cooler, and 2' steel leader for you favorite fishing pole. Set out the leader like a snare, sit back and enjoy a couple barley pops, wait for the little buggers to step in the "snare", act like you are setting the hook and enjoy! May need a baseball bat to help get them off the line.[Beer]