I have a frozen brown bear (roast?) from somewhere in Alaska
Like any meat, the best cooking method for bear depends a lot upon the cut of meat. Brown bear, even if taken in the early spring (before they start eating salmon), is pretty strongly flavored. A lot of hunters in Alaska don't even eat brown bears that they take, preferring to use them for taxidermy purposes only. (BTW, I don't like that, I firmly believe that hunters should eat what they kill, but that's beside the point)

Considering the gaminess of brown bear, that your cut appears lean, and that you're not entirely sure what cut it is; I recommend that you make sausage. Trim away any noticeable pockets of fat since bear fat is not particularly pleasant. Grind the roast with about 25% fat by weight. Since pork is the closest easily available fat to bear, I would go with that if you can. You can use a meat grinder, if you have one available, or food processor. If you don't have either of those, you can also use a knife. Just pound it as you mince it as finely as possible. From there, you can use any recipe for pork sausage that appeals to you, just increase spice a bit to compensate for the strength of bear meat flavor. You don't need to stuff sausage casings or anything like that unless you care to. Smoking or any other specialty technique is also entirely optional.

The one thing that isn't optional is that bear meat should be cooked to a minimum of 160°F (71°C) because many bears carry trichinosis.

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