That 25-06 is a very effective long range vermin cartridge. I hunt deer with one. My concern would be barrel life if you were putting continuous rounds down it at a busy 'dog' town .
Barrel life would be the least of my worries when sending several hundred .25-06 rounds downrange over the course of a couple of days. How much shoulder/rotator cuff rehab would be needed?

From my experience, unless you are going for the 1000 yard+ shot, .223, ,22 PPC, .22-250, and 6MM BR are some of the best "all around" varmint cartridges. I do have a .17 Remington that for <200 yard shots is "explosive"--a 20gr projectile moving at about 4,100FPS.