With the denials you were describing on the other thread, I wouldn't risk app'ing again until you have some months of positive reporting on the Orchard. After 3-6 months, you'd have better chances with the BofA secured. I don't know that BofA does this, but many cards make you wait 6 months after a denial before trying again.
How recent were your lates, on how many different accounts, and how bad were they? And what are your three FICO scores? There are an awful lot of CCC's who will deny for recent lates, even with high scores. I'm still waiting for my last 30-day to go over 1 year.
* Credit is a wonderful servant, but a terrible master. * Who's the boss --you or your credit?
FICO's: EQ 781 - TU 793 - EX 779 (from PSECU) - Done credit hunting; having fun with credit gardening. - EQ 590 on 5/14/2007