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Anything 30-30 or better will do the job, however, on the cheap, it would be very hard to beat an SMLE Sporter.
Can be acquired for cheap, used the 303British, and it very capable to at least 200yards.
something like this:
BTW PLEASE do not do this to a rifle that has been unmodified. Buy one already done.
Since the OP specified "NOT BEAR DEFENCE" I'd recommend a rifle for big game. And since 100 to 150 yds was mentioned, or perhaps even 300 !!!, I'd choose one that will work under ALL conditions of "surprise", terrain and weather conditions. The .308 Win is bottom end in my view. There are better for the criteria mentioned or that could possibly be encountered, such as: 1) A solo hunt or with an outfitter? 2) Mixed terrain or strictly thick brush and/or timber; 3) Surprised by a really big bruin at 5 yards or an unsurprised bear at 150; 4) Recoil of rifle or slug gun; 5) Handloader or not; 6) Ability to remain calm and shoot accurately under pressure/stress; 7) Blood trail; 8) Retrieval of bear; etc.
In my experience of bear hunting in Ontario for every year over the past 30, in all of the conditions mentioned above, I'd say bigger is better if you need to stop the bear in it's tracks, or keep it from being lost after darkness falls in thick brush or a swamp, and needing a clear blood trail. By bigger I mean medium to big bores, and big bores are better than mediums. I think I've experienced just about all that could be experienced in hunting of Ontario bears. If one is certain of shot being limited to 100 to 150, a flat shooting rifle is not needed but I'd NEVER use anything less than a .308 Winchester and a .45-70 with good handloads is at the very top for flattening a big bruin on the spot. Yes, all the way to 150 yards. And I've used, or saw used, many common cartridges and nothing beats a .45-70 properly loaded, and that includes my favourite medium, a 9.3 X 62 with which I've taken my last two 6-footers at 68 and 85 yards respectively. The last was Oct. 1st of this year with a 250 AB leaving the muzzle at 2700 fps+. It did an excellent job diagonally through the bear taking out one rib on entry, pulverized the heart like mashed potato and taking out two more ribs on exit and leaving a blood trail that looked like it had been sprayed from a garden hose. That bear still made 20 yards. The same shot from a .45-70 with the right bullet would have flattened the bear on the spot! I wonder how I know that?