Full disclosure: I have never attempted this sort of endevor.

Have the services been routinely recorded in the past? If so, the file could be uploaded to your favorite platform, such as Facebook or YouTube.

There are costs involved but conferencing services such as GoToMeeting could be used for this. I have been a participant and had access to recorded meetings.

I see two components of your project. Getting something operating by tomorrow and a long term solution. OK, a third component is what sort of solutions can your users tolerate?