Here's an idea for a new feature; depending on what people say here I can post it as a feature-request either here or at http://meta.stackoverflow.com/https://meta.stackoverflow.com/.
A "minor edit" checkbox, along with the parenthetical text "minor edits must be reviewed by another user, but do not bump the post on the list of active questions".
It would then do what it says. Since we already have the review mechanism deployed, it seems like it might be quite easy to achieve technically.