I'm sure interested in finding out how this flies for you - I hope you do get the Visa if that works for you. Like credit said, it's a bear of a APR, and DH's is not that handy to pay online (okay - but not great). But it seems to grow nicely.
My FICO's are 709, 731, 741. (mortgage pull). When I app'd I received the store card and have upgraded to the Platinum (that's based on purchases, not credit worthiness). My thinking is like tray's -- I've just been planning on calling in every three months for my CLI, and then app for the Visa only when they invite me to. My card is 3 mos. old, CLI just increased from 1000 to 1700, always PIF, no invitation yet. Interesting that they pull EXP and my score is a good chunk higher than DH's - yet he got a Visa and I got a store card!