I have had a Win Extreme 270WSM l docked to 20" for use with a suppressor for years & have taken everything from rabbit to Buffalo with it , from memory it spits out 140grn at just over 3000fps ,taken Deer at 450 yds & Tahr at 480yds.IMO you should look long & hard at a 7/08 or 308 that will do all you want to do.
IMO from what info you have given l would look seriously at a 7/08 or 308 & recently there have been some bargain proven rifles for sale here on the forum.
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