It would basically be a legislative body. It’s members would be appointed by the states and the members would choose a president. Just like the original convention or the state conventions. The only difference would be it would not be a complete rewrite, it would just be a means other than the congress to submit amendments to the states.
But who in the state? The governor? The State Legislature? A committee of that legislature? That's the key. Let the GOP get control of enough governorships and/or legislatures and it should be a breeze, right?....................
I'm not so sure about that. The original Constitutional Convention was not supposed to completely rewrite the Articles of Confederation either, but it did anyway.
There is no guarantee that the same thng won't happen in another ConCon. Once a ConCon is called, it can do whatever it wants as long as the states ratify its decisions. Once a ConCon is called there is nothing in the Constitution that says Congress can limit or stop a ConCon's actions. In fact a ConCon could in theory even abolish Congress. Once convoked the only ones who can stop a runaway ConCon are the states who refuse to ratify its decisions.