Did dualbrowser trick yesterday as a part of a mini AoR (also grabbed Citi Hilton Reserve and Chase Fairmont). Was denied immediately for both cards - not surprising considering I must have at least 10 inquiries in the past 6 months, thanks to the 100k AA deal that I got 6 of, plus a few other cards.
Anyway, I called in, explained my situation (applied for many new cards since I got a new job that will require more travel and want to get cards to get benefits for all my travel partners), and was approved for $5k for one card. When I mentioned the second card, she said sure, no problem, and split the CL among the 2 cards.
FWIW, I have a banking relationship with BoA, but less than $20,000 is in my account.