Hello stephenw20 and thank you for making the phone call.
If the WTBTS sees that they are unable to stop a GDNCL, then they will also see that it is in their interest to receive the information via the Internet (e-mail, ftp, whatever) instead of having to process all that paper.
On the other hand, they may chose to drag their feet on this and insist on paper just to slow down the rushing flood of requests. Also, they probably want to make it as cumbersome as possible for anyone to opt-out, the WTBTS hope being that many won't go to the bother or making a call or wrting a letter.
There are alternatives besides e-mail, but if the WTBTS is rational, they will prefer an electronic format.
Alternative 1: The GNDCL queues up requests and then a dump is made daily on paper. The paper is then sent to the WTBTS for them to process.
Alternative 2: The GNDCL queues up requests and then a dump is made daily on paper. The paper is then read over the telephone to the WTBTS. If a separate phone call is made for each request, I think the WTBTS will quickly tire of all the telephone ringing.
Alternative 3: Slowly but surely, a contact list of Kingdom Halls is built up and they (also) get paper and phone calls.
Alternative 4: Legal notices will be regularly posted in the classifieds section of a newspaper (local to Brooklyn) with the appropriate information. (Note: most papers will accept electronic submissions.) Yes, this will add to the overall cost. But I think the WTBTS will want to avoid this because of the associated bad publicity.
Alternative 5: Volunteers close to Brooklyn can be sent the collected information and then hand deliver it to the WTBTS, perhaps on a daily basis. The JW door wardens will quickly tire of the visits.
Alternative 6: If the WTBTS insists on being real b*st*rds about things, then volunteers can make visits to as many Kingdom Halls as possible, carrying the paper with them. It would probably be a good thing to show up on Sunday morning to make sure someone was there. And to avoid having one's intent mistaken, the volunteer should not hesitate to make a prominent announcement of purpose and to explain that the visit was necessary only because the WTBTS was refusing to cooperate. The elders will quickly tire of the visits.