See if Wes has any .308" "pulls". The 147's and others will shoot well for your purposes.
With can,I would not go 220-250. No need to IMO.
You can quite easily make 150gr - 208gr into sub loads with several different powders.
Also . . . I would agree with the above . . . jacketed bullets only . . . not even powder (or other) coated. --- SAWMAN