There is no such thing as a “Miranda stop”. “Miranda” was the name of a fellow arrested in the early sixties. Following the normal practice of the times, he was questioned without being advised that he could remain silent, have an attorney, etc. SCOTUS made a new rule that required police to advise folks of several of their Constitutional rights under certain circumstances.
You can “demand” to be taken to a magistrate all day long. After booking, if you aren’t PR’d you will see the magistrate when the arraignment hearings are scheduled. It may be different in your state.
You are wrong even the new USSC ruling means you do not have to incriminate your self.