If BK8 do not have a problem with you sharing the information with a DT member then they really should have no problem listing the same information to send to the OP. Keeping that aside, according to the OP he wants to receive the money he feels he is owed ($1140) therefore it is not exactly a small amount. In order for him to find closure, BK8 should have settled the matter long before the OP brought it here.
No matter how this matter moves forward it is clear BK8 will not change their mind therefore the OP does seem to be wasting his time.
Once you agreed with the name of the DT, I'll ask BK8 if they're ok with me sharing what they shared to me to them. With that permission from BK8, I'll reach each of the DT and ask their willingness to help validate the data provided, and see what their verdicts are.