Try a .338 win mag off the shelf. The best advice I can give you and probably more important than the type of gun or optics you bring is this - get in the best shape you can. Alaska is tough and most successful hunting is done on foot.
Be happy to help - Float hunts for non residents hunters in Alaska are very limited these days because a lot native corporations and villages have pushed for non resident hunting closures along river corridors that native Alaskans frequent. The Nushagak and Kuskukwim river drainages are two...
Buy a raffle tickets at the GSCO convention for a hundred bucks. Odds are not good, but where else can you get a sheep hunt for a hundred buck raffle ticket.
If you are an Alaska resident - the money is the same for goat or sheep if you do it yourself. Sheep hunting is better in Canada than Alaska unless you draw a sheep permit in an intensively managed sheep area (ie Tok) in Alaska. Goats with long fur can be taken off of boat with minimal climbing...
For sale by original owner Bill Wiseman 300 win. synthetic stock, fluted barrel, 5 round clip, built on a tikka action, sub 1"moa 3x10 leupold vx3 Long range gun with enough knock down power for big game $2,500 we pay shipping in the U.S.