My buddy and I have been making an annual varmint pilgrimage to Wyoming for over 15 years. Three days, gophers with 22 and 17HMR (practicing off sticks) when it gets too windy, and serious varmint rifles/calibers for long range prairie dogs. Usually hundreds of long range shots each day. It’s always been a bit of a friendly competition where we spot and cheer for each other. Lots of guns and calibers over the years, 17Rem, 204R, 223, 22/250, 220 Swift, 6BR, 243, 6.5 Creedmoor. We rotate as the guns get hot, because we get recoil sensitive or just to try something different. All guns are very accurate with a couple that are bench rest accurate. Three takeaways:
We shoot best with low recoiling guns. The 6.5 Creedmoor is a one hole shooter I had built just for this and held our first shot kill long range record for years but it wears you out REALLY fast shooting from the bench. Even the heavy barrel 243’s beat you up pretty quick. The 6BR is the other one hole gun. I can shoot it all day (it is heavy, with a muzzle brake so I can see bullet impact). It kills wayyyy out there and is surprisingly good in the wind. But if it isn’t too windy (rare in Wyoming) the 204R is the hands down favorite. Its effective with very little recoil and it’s easy to see the bullet impact.
Wind, not trajectory, is the enemy. We use range finding binoculars so first shot misses tend to be left/right not high/low. Heavy for caliber bullets offset this to a degree but having a good spotter is the best way to improve the odds on follow up shots. FYI even 140 6.5 VLD’s kill these little critters quickly at very long range.
My answer to the “what rifle/caliber for small game question. Last year I brought three rifles. A Cooper 204R, a Dakota 6BR, an HS Precision 220 Swift; all great shooters with good glass and triggers. Turned out I had an ammunition issue with the 6BR (powder issue, not relevant to this discussion) and a scope issue with the 220S (my fault, pretty hard to find a Torx bit in the middle of nowhere, stupid!) so I had three days with only the Cooper 204R. Thankfully not only did I have lots of 204 ammo but it wasn’t particularly windy. So, forced to use only the 204 I found I was able to stretch it past 600 yards fairly consistently - and even at that range those little 39 grain Sierras send them to the afterlife in a hurry.
I’ve only shot two coyotes with a 204, neither really long shots, but it was did the job, quickly. Years ago when I lived in Alberta I shot quite a few coyotes with a 17 REM, worked great, no exit hole - don’t need much gun for coyotes.
So, if it was me I’d keep the Remington, install a good new 204 barrel and use the 204 reloading gear you already have. Then invest in a good scope and/or trigger if you don’t have them yet.
Now if you want to add deer to the mix we need to start over….