If you plan to pay in full, it doesn't matter. The only time you'll need to worry about the % that's on the card is if you plan to leave a balance to report at statement cut. New cards are restricted to the number of payments you can make, so keep that in mind. A low limit card will be difficult to work with that way, especially if you're planning to put a lot of usage on it.
The way to get around the payment block is to set up your personal banking bill-pay to push additional payments through.
Charge cards don't count against your utilization and as I've heard, heavy usage on the charge card will reflect positively towards your revolver but that's for AMEX only.
Since your BCP has a such a high SL, unless your profile supports it, a CLI might be unimportant or when it comes time to ask for one, they may ask for proof of income.
Keep track of your statement closing dates and pay off 4 days before close.