My first centerfire rifle was a Sako 22-250 Forester which I purchased brand new in 1981. I still hunt with this rifle having had it rebarrelled with a varmit barrel a few years ago & after firing more than 5,000 rounds. A super accurate rifle that I have used on crows, rabbits, hares, foxes, cats, dingoes, wild dogs, feral goats, kangaroos, wild pigs, deer, & even a water buffalo. The vast majority of the rounds fired through this rifle, prior to rebarrelling were at game, as it was my only centerfire rifle for a number of years while I was culling feral animals on a number of relatives & friends propertys including our place.
I dont know what you want a varmit rifle for, but I actually preferred my 22-250 with the standard barrel as I found it handled better as an allround rifle, while still achieving just as fine groups that I have since achieved with the replacement varmit barrel.
I own a Sako .17hmr, Sako .308 Finnwolf lever action, Sako 85 .308 Bavarian which I also use for hunting. All of my Sako rifles are super accurate & very well finished. I cant recommend them highly enough. I also own & use a CZ .22 & CZ .375H&H. While my CZ's are probably just as accurate as my Sako's, the Sako is a step up in class. Buy one ,then you will know what I'm talking about.