from the NCSL...which in this case is not an AI overview...not that there's anything wrong with that. Since you had no clue, it should have answered your question as to "How would it be Independent?"...btw, there are several other suggestions, but as the following excerpt shows, Iowa makes a special effort...better than most... to make the process truly "Independent".
If you don't like Iowa's approach, say why and propose your own...that's how a debate should play out. Warning:...then you'll have to defend your own recommendation...scary stuff for a Libertarian ;-).