We've included additional information about organizing faculty writing groups at this page, which we will continue to expand:
https://wisc.pb.unizin.org/mtle/chapter/faculty-writing-groups/ The form below includes shorter descriptions of different writing group structures. Filling out this form doesn't commit you to joining a writing group. (Nor, alas, does it guarantee that the ideal structure for you will be possible for other folks!)
However, it does help us identify whether there are patterns in your interest areas that might allow effective faculty writing groups to form. I can follow up with additional information about these patterns and share concrete resources for forming these writing groups. From there, you can decide on the next steps that are best for you.