I missed out on the combo deal which is a bummer but I placed an order and they verified that it will ship either today or at latest tomorrow. I canceled my order with B&H. For the record both Adorama and B&H were very friendly and helpful over the phone - but the spoils go to those who can supply the camera.
B&H did mention that they believed it would ship on Monday, but I have a view house to photograph this weekend and would like to have the 5D3 handy for it.
BTW. Thank you for reporting this as thanks to the info here I should have my camera this weekend.