Personally based on the cards you have and the spending you're likely to do based on your income, I'd look into a better grocery/gas card rather than going with an airline card, first anyway.
I'm a big fan of the Sallie Mae World Mastercard. 5% Grocery, 5% Gas up to $250/month on each with a 10% bonus for linking a upromise account and having a Sallie Mae HYS(which pays .85% APY a decent amount.) making it really 5.5%. Yes, the limit is lower than the $6k a year on the BCP, but it only works out about $120 a year difference and based on your finances you'll have to do a fair bit of manufactured spend to hit the limit for BCP, which seems like an awful lot of work for $10 a month difference, that and you get 5.5% on gas, which is the best out there up to the limit(which unless you're doing serious manufactured spend isn't going to make much of a difference.)
I do recommend the Southwest card though because the sign up bonus is nice, provided you can manufacture/have enough spending to get the sign up bonus. It has the added benefit of 6,000 points a year which pays for the $99 annual fee it carries.
I'd also look into the PenFed Premium Travel Rewards card which is 5% on all airline travel, and has a $200 sign up bonus with a $2,5000/3 month spend. I'm not sure about your likelihood of approval.