On that tack, I'd recommend Federal Gold Medal Match in 168 grain FMJBT's... and you wind up with nice reloadable brass.
I can not believe you just recommended a FMJ for hunting let alone a match bullet.
Definitely don't use a fmj bullet because most states it is illegal and the do not expand.
Ok first try win. super-x 150 soft points then the 180s
Next rem. Core lokt 150 and 180
Then the may hornadays
If you see the pattern yet its try the cheapest first and go up.