A good old Leupold 2-7 Heavy Duplex is a good scope for coastal brown bear. . If you want a high dollar scope the NightForce is aparantly a Tough scope. And they have lighted reticule.
No doubt opinions vary . A great big bear taken at 100 or more yards is a trophy big game animal.
But a brown bear that squares 8' or bigger and is shot at bow hunting range, 50' or less is a world class dangerous game trophy. I put a 1.5-6x40 E Dot Burris Sign. Select on my last 416 Rem custom CZ550. That rifle, scope combo was IMO the perfect brown bear rifle. Just put the little red dot in line with where I wanted the bullet to go and it went there. . With the 338 you have to pick your shots a bit better but it still works good.