The workers have collected BTS previously that can still be used to pay the bills. For example, the bitshares-core and marketing worker has proactively asked to be voted out in the past since enough BTS has been collected.
Maybe it's possible that you open dialogue with the BBF to discuss if and how the payment process can be refined to minimize impact on the market?
P.S. I would like to kindly ask for a translation of this message to anyone that is willing to, maybe Tong? Obviously I can put a google translated version here, but I have been told that they lack quality