Four things.
First, you'll be limited to airlines that either accept direct transfers of Amex or Chase points, or who have partners that fly to Alaska. Between those two credit card programs, you have United, BA, Delta, Singapore, Korean, Air Canada, Cathay Pacific and several other airlines that either fly directly to Alaska from the lower 48 (United, Delta) or whose miles/points can be redeemed on partner flights, e.g. BA for American and Alaska, etc. You'll need to research each of the potential transfer partners to see what they require as redemption rates. Some are bad deals, e.g. it takes three times as many BA Avios to fly in first class on Alaska Airlines as it does to fly in coach.
Second, none of the domestic airlines offer an international-type business or first class product to Alaska. No beds, just recliners, and not all have in-seat IFE.
Third, "Alaska" is a big place. Where do you plan to send them and what do you want them to see and do? They can fly into Anchorage and rent a car (or join a tour) to places like Denali Park or the Kenai Fjords, or you can fly them to Vancouver or Seattle for a cruise through the Inside Passage... but it's such a big place that the choice of activities and regions can make a big difference in your choice of airlines. Only Alaska and Delta serve smaller cities besides Anchorage (and Alaska serves many more) so planning the itinerary should - IMO - take precedence over picking an airline.
Fourth, first class award space to Alaska in the summer can be VERY hard to obtain. There are too many people willing to pay cash for the pointy end for the airlines to make much award or upgrade inventory available. Not to say it's impossible, but you may have to look at red-eyes, long layovers, indirect routes, etc.
So you've got a great idea for a present, but it's one that's going to take quite a lot of homework and legwork on your part to pull off.