Two Supreme Court decisions, Dillon v. Gloss in 1921, and Coleman v. Miller in 1939, grant Congress wide latitude to regulate all facets of the amendatory process provided that regulation does not contravene the words and intent of Article V. This is why Congress believes it has the right to regulate an Amendments Convention. The ABA Report also agrees with this and features recommendations for congressional legislation to determine delegate choice and conduct of the convention.
In the end, I suspect the Supreme Court will have to decide just how much leeway Congress has to regulate an Amendments Convention.
I say they don’t have ANY at all. The whole purpose of the convention clause is to bypass a future Congress that is out of control, such as we now have. The Founders were not stupid.......