Citi had one for 21 months. I think it was the diamond preferred card. Haven't applied for it myself.
Starting Score: 475
Usually when people are asking for a BT card it's because they have a high utilization resulting in less than stellar scores. The DiscoverIT is a card that you can get approved for a higher limit than some of the other BT options if your score is hovering around 700 (or lower). Another positive to the DiscoverIT is that it isn't a dead card once the 0% APR expires like most other options. I bolded "can" because people have reported wildly different experiences while having similar scores.
Are you looking to BT more than a couple thousand dollars? If so I'd stay clear of the Citi Diamond Preferred or Chase Slate unless you have higher scores, and even then I've seen low SL on these cards with pretty good scores. I would suspect with only a 7k approval on the Cap1 Venture you may be dissapointed with those two cards.
Do you have a relationship with Discover or AMEX? If so I'd maybe pursue those options.
If you're fine with a dead card after the 0% period I would echo the poster above and suggest the BoA BankAmericard. It seems to give starting limits with enough room, and has the perk of having 0% BT fees/15 months of 0% APR.
Also just a quick reminder if you aren't aware - you're unable to balance transfer any money from your Cap1 Venture to another Cap1 card that has a 0% ARP offer (like the QS or VentureOne).
Good luck, and keep us updated on how everything turns out! 
@bennew111 wrote:
I have never had any military affiliation. Is there any way I could qualify for an NFCU card?
Did any grandparents or parents serve? If not - I don't believe so. There was a way to get in by joining a navy league, but that backdoor entry has closed.