Old Navy, Gap, and Banana Republic all owned by the same parent company? I think you can use the store cards interchangeably. The approval process and requirements should be the same for all three cards and all three also have a visa version if you apply in the store. Also, I know that sometimes if you are only approved for the store card, you can at a later date request the visa version and they can upgrade you depending on your history and usage of the card.
Current:
TU (5/14/14): 796 (Inquiries; 8/23/13)
EQ (3/23/14): 791 (Inquiries: 8/23/13)
EX (9/24/13): 780 (Inquiries: 7/2/12; 11/20/12; 7/30/13; 8/23/13)
Goals: No new inquiries for 2014, 800 for all CRs by 12/31/14