For a varmit rifle, I'd take the 22-250. The 25-06 works great but I see it more as a hunting cartridge. You could make whatever you want into a varmit rifle, I used a 338 win mag years ago. It was a hoot but a day with it sored ya up some. As you know I use a 243 now and I like it.
.22-250 or the .25-06. opinions on which is better? Would be for an all around varmit rifle.
Of the 2 you mentioned the .22/250 would be best - the key words are "all around". The .25/06 is a great cross over cartridge when deer are on the menu. Ditto on what ChesterGolf said about the .243, one my all time favorites.
I learned this the hard way last year. If you're hunting in an area with lots of bear activity, it's a great idea to stash your food and water up in a tree. I like to wrap everything in a tarp and tie it between two trees. Don't just tie it up in one tree but tie it in between two trees at least 15 feet in the air. I thought I had my backpacking camp's food supply stashed pretty well last year. I returned to camp during the first weekend of archery to find all my food destroyed. Make sure...