This is extremely interesting, I do feel weekly is a bit much but Monthly would be ideal and I feel would engage with the community at the right level.
I feel weekly would be too much due to potential questions you may get asked and the steer you may take as a result of those said questions. Where as if it is monthly your teams focus stays on track and allows you more time to focus on the right things.
This is obviously just my opinion.
Keep up up the good work!