If it's so important for moderators to look at large edit suggestions as a priority then show the suggested edits sorted by size. Then they will be reviewed whenever there are no larger edits to review.
If it's important to review edits made by non-anonymous first, then sort them by reputation and put the anonymous at the very end. Can't you fix the actual problem you are trying to fix rather than blow away the whole leg?
When I can't make such an edit I just find myself saying "f*ck this" and go do something that's actually fun and rewarding.