Honestly, I have no idea what orientation to call our drive.
The reason is because we're doing something... weird, to say the least. We have decided that we will be using Mecanum drive as the base, with the BAD* situated on the long side. However, assuming that is the front, our wheels will NOT be pointing in that direction. Rather, they will be oriented the long ways, allowing us to have the stability of the long orientation and the ball carrying capacity of the narrow orientation. Best of both worlds really.
Except maybe for having to deal with drifting. But that's a software problem.
*Ball Acquistion Device as dubbed by DonRotolo.