If the budget is not an issue, get a 45/70, if the budget is an issue, and you are not at risk of a polar bear or a huge costal grizzly, I would get a lee enfield. The 10 shots in the the clip are a benefit.
This actually isn't terrible advice, but not for the reason posted. The Lee Enfield is a rugged durable rifle that comes up shooting with it's issue sights under very adverse conditions, after weeks or even months of abuse. SMLEs are a common sight here. As for the 10 round magazine, it is of little benefit except that you know where your ammo is. Dangerous bear encounters are not resolved with firepower. They occur at very close range, and there would be simply no time to get off more than an aimed shot or two before the bear was on you. If you don't get it right the first time, you might not get a second chance.
However, even in grizzly or polar bear country, more often than not it is a juvenile bear that goes looking for a confrontation, not the half ton adults. When a problem occurs with a very big bear it is because you have made a mistake and somehow, intentionally or unintentionally got within his personal space, got too close to his food stash, ran into a very old, sick or injured bear that sees you as a food source, or you find yourself in the extraordinarily rare circumstance of facing a healthy bear that is predatory towards people. Back to my point, small to medium size problem bears of any species are easily handled with a normal hunting rifle.
What you choose to carry should be determined by your shooting experience, your physical ability, the length of time you will be in bear country, how much travel you intend to do on foot, and with consideration to how much gear you need to carry. For years I carried a single shot shotgun with the barrel cut down to 20" and rifle sights and a sling installed. This thing was easy to carry and quick to get into action. I didn't feel at all unarmed due to being limited to one shot because I knew that if I had a problem I would probably have only one chance. I carried that gun when I first moved up here, and had an interesting encounter with a very big male. My two sons and I saw this guy from a distance and wanted a closer look. We approached him with the wind so we wouldn't surprise him, but once we had closed, he became interested in us and he closed in on us, well within my comfort zone. At that time I hadn't learned that a polar bear will continue to approach you once you are within his personal space, nor had I developed the technique that I now use when this happens, which is to run straight at the bear and put him in a fight or flight state mindset. I had an imaginary line drawn in the sand and determined I would fire when he crossed it. The SOB stepped on the line then turned back into the rocks! Memory is an unreliable thing, so I won't say how much I thought that bear weighed, but I do recall that at the time I said it was 2' between his ears! I stopped carrying the little Winchester when I discovered that it's firing pin was too short to fire Federal slugs reliably. I ordered a replacement firing pin, but the problem persisted, so I gave it up for a rifle.