When you threw wolf into the potential targets, my suggestion changed to something in the 6mm range Like 243, 6x45 or 6x47. Other than that, a 20 Vartarg and a 20 Tactical are two of my favorite varmint calibers.
6mm SLR (https://www.accurateshooter.com/guns-of-week/gunweek0102/), pronounced "243 Win. with twice the throat life and no fire forming." Put it on a 1:7.5-twist barrel and it'll shoot 95-115 grain heavy-for-caliber bullets, if you want to go long range (out to a grand) or heavier varmints.
I like building my own rifles! I've built 20-250's, 22-243, 22-250AI and 6-06AI, 260AI, 300WinMag, 300WSM. the 22-243 will outdo the 22Creed. The 20-250 will shoot a 40grNosler BT at over 4150fps, I've had it to 4300 but showed pressure signs so backed it off!