I suggest another part of "insert" for "insert asbox" and "insert ambox".
Topic on VisualEditor/Feedback
Those are very specific uses, they might be better developed as gadgets that integrate with VE in my opinion.
Agreed for this suggestion in particular; note that there is a suggestion in bugzilla:53590 that we prompt the user with contextually-appropriate common templates when they click "insert", which is an alternative direction.