Remington, ruger, browning and tika all make left hand stainless rifles.
-Remington makes the XCR (stainless with special rust proof coating and synthetic stock) in 270, 30-06, 7mm remington , and 300 ultra mag
-Ruger makes the 77mkII in stainless with laminated stock in 25-06, 270, 30-06, 7mm remington mag, and 300 win mag. (If you really need more punch in alaska I have seen a few of these in 375 ruger)
I have stainless left hand rugers in 30-06 and 7mm. They both shoot very well, especially for the money.
-Browning makes the A-bolt in stainless synthetic in to many calibers to list, but they include the 338 winchester mag which might be of interest to you.
-Finally the Tikka t3 is available in a left hand stainless synthetic, but I can't remember exactly which calibers.