Group level edit/view permissions

I have a board that tracks feature requests for our product. I have groups for new items, reviewed items, approved items, etc. I would really like to be able to pick which groups individual users can edit. That way a variety of users can submit suggestions to the new section, but they can’t modify the other groups. I realize I can achieve this via webforms or using multiple boards, but I want everyone to be able to see all the entries.