Alaska Airlines offers some great frequent flier bonuses on a Visa Signature credit card it offers in partnership with Bank of America. However, depending on your travel habits, some alternative airline credit cards could offer you some even better value.

The airline's website promotes its Bank of America airline credit card, offering 3 miles for every dollar you spend on Alaska Airlines and one mile for each dollar of everyday purchases. The card's signup offers have included bonuses of up to 25,000 reward miles, and an annual $99 companion fare code.

If you're not approved for the Alaska Airlines Visa Signature card, Bank of America also offers Visa Platinum Plus and Visa Preferred accounts with slightly higher APRs and significantly lower signup bonuses. You won't get a $99 companion fare code, but you will still get to add more Mileage Plan miles to your account with every purchase.

Like most traditional airline credit cards, any of the three Alaska Airlines accounts will help you earn free travel fastest when you restrict all of your travel to a single carrier. Book direct flights from Anchorage on Alaska Airlines, and their Mileage Plan program will reward you well.

However, if you find yourself on American Airlines' routine connecting flights from Anchorage through Chicago's O'Hare Airport, you may want to consider one of Citibank's AAdvantage credit cards. Citibank offers a few airline credit cards that earn miles under the AAdvantage program, with annual fees ranging from $50 up to $450 and with perks to match.

Many travelers also enjoy the flexibility of earning rewards points on travel credit cards that don't require loyalty to any specific airline. The Capital One Venture Card lets you earn up to two miles for every dollar you spend. You can redeem those miles for statement credits on any of your travel related purchases, including hotel stays and car rentals.

Discover offers a pair of similar travel rewards credit card, called Miles by Discover and Escape by Discover. Again, you earn miles for every dollar you spend with your card. Redeeming those miles for statement credits can often get you free travel faster than waiting to hit a reward tier in a traditional frequent flyer program.