Most of my plains game hunting has been done (so far) with two calibers:
.30-06 Springfield loaded with 220Gr Remington Core Lokts
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7x57mm Mauser loaded with assorted 175Gr soft points (currently, I am using the 173Gr Sellier & Bellot SPCE factory load)
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If I could set up one “Plains Game Exclusive” rifle, it would have to be a .338 Winchester Magnum built by Griffin & Howe on a Springfield Model 1903A3 action with a 25” Douglas Premium barrel and a Grade 5 Turkish walnut stock (cheek piece included). It would have the factory two piece striker replaced by a titanium striker. It would wear a Weaver K5 telescopic sight on quick release mounts. And have an India rubber recoil pad fitted.
If I had to choose a commercially manufactured rifle, I’d personally be very happy with a Mauser Model 98 Diplomat chambered in 9.3x62mm Mauser.