Your case has .243Win written all over it...or if you don't mind a little more power/recoil, .270Win. If given the choice for a deer only rifle I'd go with the .270, but if I wanted to have a more multi-purpose rifle for both deer and varminting, as well as a rifle that would be pleasant to shoot on the range, the .243Win might be better.

Another to consider would be the .25-06.

Mike