Have you filled out an adoption form with BRAT? I seem to recall some clause there that says you must nevereverevereverever let your BRAT Basenji off leash (or maybe that was a Greyhound rescue I was looking at, I can't remember for sure). But it couldn't hurt to at least have an adoption application on file, detailing your previous experience with B's and your living situation.
There is also Craigslist – yes, it's rare, but it happens. I had an adoption application on file with BRAT, but my girl actually came from Craigslist. I had been checking rescues and Craigslist daily for about a year and a half, and when the perfect older spayed female came up, boom, it was like it was meant to be.