There are Grizzlies in Montana and people have been killed by them.
People have also been killed by lightning,falling rocks, "Widowmaker" tree limbs. And cold,wet weather.
I'm not saying to ignore the possibility of a bear. Its kind of like winning the lotto in a bad way. We think of winning the lotto.It does not happen often.
You mentioned a Savage 99 in 250 Savage. If I'm not mistaken,the twist limits you to a 100 gr bullet. A 100 gr expanding game bullet would not give me great confidence against a grizzly,
Its a sweet rifle,but if I was losing sleep dreaming of having my scalp ripped off by a Grizzly.. I think I'd carry at least a 30-06,myself.
The stats say bear spray may be more successful. You can work that out for yourself.
Someplace I read "If you go rabbit hunting in India, be prepared to meet a tiger"
If I was concerned about bears,I would not carry a 250 Savage. But thats just me.