I started shooting dogs around 2010. It has become a bit of an obsession. I shoot mostly in Colorado. My observations are that:
1. Either me (overhunting) or "the plague" has reduced populations over the last 5 years. There used to be times where I'd set up and hit 30-40 without moving. Now it's 5-10.
2. While anything that goes bang is fun, a .204 or .223 is probably the minimum caliber you want to take. There are always exceptions, but most of my shots are 200yds out (many farther) and the .17 hmr/.22LR drift and aren't competitive if your pal has a 6mm or 6.5 variant. (or a 22-250. 220, etc).
3. Earlier in the season (May/June), earlier in the day best, and it needs to be sunny. Thoery is a pdog won't come outside if hawks are casting shadows.
4. You need good binos and a decent rangefinder. Because of varying sizes, it's visually hard to tell if they are 400 or 525 yds out. I often shoot with a buddy and it's a game to see who gets it first. Even at long distances, if you don't hit it in 2 or 3 shots, it gets a pass. You get so used to the sound, you don't even need to see the your buddy's dog to know that it was hit.
5. Use frangible bullets.
Suppressed is the way to go - you can hear them call one another and your ears localize them. You also hear the paper bag bursting when you hit them. A can owned by an individual cannot be loaned. If it's owned by a trust, it can be if you are added as a trustee. This is a longshot as only a buddy would loan you a can on a trust because if it's lost or damaged (bad rifle thread job, not tightened, cheapo Barnes bullets) it's a problem.
I shoot dogs 3-5x/year out west, have a couple trips planned already. Shoot me a pm with your plans, might have some tips.