Winchester 70 Featherweight CRF in 7mm-08 or 7x57. The Tikka may be a hair more accurate (maybe not though), but it can't touch the class and cool factor of the Winchester. I still like a rifle with a walnut stock and blued streel. Nobody does that better than Winchester in the non custom rifle dept these days.
If you're looking for class, forget the 7mm-08 and go 7x57.....that package will handle anything you mentioned, and with panache.
If you feel compelled to get a 7mm-08 get the Tikka. You won't be sorry...