I got denied for a card because of too many inquiries but that was a bank card.
Do you have a Kohl's in your area? One of their requirements is that you have to have two accounts, in good standing, on your CR that are both at least 6 months old. That's what they told me when I requested reconsideration on a denial. I don't know what other things they may or may not look at but I know a few people with less than perfect credit who have a Kohl's card.
You can use the card online but have to apply in one of their stores. It's through Chase and they pulled an EX on me (I'm in the mid-west).