There was a very serious States Conventional Convention movement for the 17th Amendment. It was so serious that Congress was moved to take the matter into their hands.
So there is precedent that is more recent.
This is the "put a gun to the head of Congress approach", and it worked in 1913. The other alternative is to follow 90% of the procedures in that download file and actually have an Amendments Convention with its purview delineated by the state legislatures. So there are two ways to put the gun in the hands of the states.