I was thinking maybe a Savage 112BVSS - 300 Win Mag, and shoot Sierra MatchKing handloads. New AccuTrigger™, stainless barreled action, heavy fluted, free-floating and button-rifled barrel, internal box magazine. Target style heavy prone laminate with ambidextrous Wundhammer palm swell, dual pillar bedding. Total capacity is 4 rounds, and that could be handy if I miss or hit one in the guts. 10 1/4 lbs., so recoil will be very manageable. 26" barrel for good speed.
According to my calculations, a 300 Win Mag is quite a hot little number with the right load.