There's an annoying case that comes up with suggested edits for those who have full edit privileges:
- new question is posted without code formatting
- someone suggests edit to fix formatting
- 2k+ users comes along and instead of fixing the formatting in a few seconds and then being able to address the properly formatted question, they approve the suggested edit and are stuck trying to read the still-unformatted question
Previously proposed solutions along the lines of Instant approval of revisions for users with edit privileges have been rejected because people weren't holding other people's edits to the same standard they'd use for their own.
My suggestion is not to allow edit suggestions until a post is one hour old. I think the regular editors do a good job of fixing new posts anyway, and it would avoid the irritation for them.
Steering lower-rep users to look through the older stuff would have a second benefit for the site as a whole: they'd be earning rep fixing things that fell through the cracks instead of stuff that was probably going to be done by someone else momentarily anyway.