Just read every post in this thread, and can't help but wonder about what gun/action the OP sees himself carrying when this is all sorted-out. My first inclination is to suggest a CZ527 American in 22Hornet, being a rimfire-sized gun and a caliber that seems to check all the boxes. Handy size/weight. I have no experience loading/shooting the K-hornet, can't comment on that but extra velocity wouldn't probably be required. Which brings me to my next point...
When I tried for almost a year to find ^that exact rifle, I ended-up with a 527 Varmint in 17Hornet. I had been hunting groundhogs for years and spent season #1 with a 17HMR, #2 with a 22WMR, then 223, 243, 204 etc. To be honest, I wasn't sure where the 17H would fit into that. Anchored them out to 200 yards, no exception, but damage was less than 223/204. Report (anecdotal) seems closer to 22WMR than 223.
17 Hornet is not that tricky to load, I use a single-stage press but also use snazzy caliber-specific funnels. Seating isn't as easy as .20/.22 but not bad either. Strikes me that 17 could maybe be loaded down, there are certainly a few bullet options. I've read several accounts of 17H being coyote-capable, I've never tried it myself.
Then there is 218 BEE=at least once a year for the past 3, I've toyed with the idea of playing with this caliber. First time I looked in 2022, there was a Ruger #1 in 218 posted here on CGN. Too much gun for a caliber I was unsure about, but the temptation was there. I also look at 220 swift about as often, no action there either. lol