If it was me I would do the 240 Hawk.
Neck size a 280 and presto your done.
Will do just under 4000 fps out of a decent tube.
Combine that case with a premium mono bullet like the Nosler 90 gr E-tip.

With a 300yd zero you still only drop 16.5" @ 500yds (3,900fps @ muzzle)!
Go big or go home, LOL.