If the guy is not afraid of recoil and shoots well I would say 300 RUM,338 Win mag,.338 RUM.
I have owned rifles from 7mm RM to 416 RM,if you wan't a gun that has minimal hold over pick the 300 RUM.
You can still get there with 06,there is no dust on it or the 7mm RM.
The 300 WSM,325 WSM,300 Winnie,300 WBY,340 WBY,300 RSUM all will handle bears with good 180-200 gr bullets.
I hunt almost always with 338 win mag (210 Noslers)sighted in @ 2.5 inches high at a 100,I'm 4 low at 300 and 18 at 400.If I aim top back on a elk out to 450 I'm still in the boiler room.It don't matter if I'm shooting a 300 WSM or a 300 RUM,its still the same hold.
Best of luck
BBJ