My board was.. well, I don't even know, either Feb or Jan, and it wasn't until mid-Feb that I was given the scholarship.
However. Because I submitted with Midwestern-AZ, they turned around a week later and told me I had a contingent select and would have a grace period for MWU-AZ to become fully accredited before commissioning me officially for the scholarship. Of course MWU-AZ is receiving this in April and my grace period is up to June, so I basically have it.
By the way, this is a very recent change in policy (according to the Navy people in LA <--Where us Hawaii people go to for important stuff), as the last few years "initial accreditation" status by a new school was acceptable, now apparently (at least for the Navy) it isn't good enough to guarantee a scholarship. Of course, take this with a grain of salt, as the information that gets passed around here and by recruiters seems to be incredibly varied and case-by-case.