Alaska black bear...
300 win mag...
ALASKA...
-Ruger M77mk2/hawkeye stainless-
Controlled round feed in case you run into more than black bears, stainless to combat Alaska's humidity, no magazine to drop or lose, relatively light weight...etc
That'll run you...maybe $800 with good scope rings included, leaving you a meager $2700 to spend on scope, sling, ammo, binoculars, rangefinder, camo, knife...etc
The ruger will be more than accurate enough for black bear out to and beyond 500 yards, if you are capable. Getting it early frees you up to practice with it more. Getting it cheaply affords you more ammo to practice with it more.
Many have forgotten there are advantages of controlled round feed.
For optics, anything clear and rugged in the 2x-ish to 10x-ish magnification range (2-7,3-9,2.5-10...). Zeiss, leupold, Kahles, high-end bushnell...etc
Have a great hunt!