This may very well not work because of the way their system is set up. But if you were to speak with a supervisor, you could let them know you're considering several cards, but the deciding factor is the sign-up bonus. You'd very much like to apply for their card but United and Delta are currently offering 10,000 miles and other airlines are offering up to 7,500 miles, ask them if there is any promotion you might be able to take advantage of that isn't normally advertised. Assure them that you'll be a great customer and they'll make lot's of money off of you. You might get a laugh and a much better deal. Even if you strike out it's worth a shot. I've got some of the best deals by trying this! Best of luck!
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