Like so many other posters already said, get something bigger then a 250-3000.
The 250-3000 may appear "cool" as you say, until you shoot into a bear and it runs off never to be found. Not so cool anymore.
Under ideal conditions like a standing broadside smack into the heart lungs will do for a small to medium bear.
Anything over 150 pounds go for say a .308 or 06 . Bears have heavy shoulder/chest muscles, too much for a .250 savage. Then you shoot at running bears which I would only do at 25 yards or less. Otherwise you can not guarantee where that shot will go exactly. Bears coming in on a call sometimes on the trot,you want something that will anchor him. Again, a .308 at least or 06 is dandy. It has the Oomp plus penetrating power, enough to crumple them and makes good holes to bleed, using good bullets like 165- 180 Nosler partitions.
In our bearcamps those two have been fine and consistant killers in black bears of all sizes. Ofcourse the 7-300 mags will do a fine job too, but are not needed.
Do not watch a bear die, like I have people seen do. Like Ooo....well he will be dead in a minute or so. If he is alive finish him off. Do not give him the chance to suddenly tear off in the bush never to be found. The heavy fur often prevents a good blood trail. Wounded bears crawl into the most awfull tight places to die.
Buy a .308 or 06, hunt everything with that for a couple of years, then get a 250 savage one day and use it as a specialty gun on deer/ coyotes/groundhogs,that is where it shines and you will not be disapointed in it.
