Thanks for picking the nicknames. It was hard for me to constantly refer to Noodle as "your wife's ex/potential bf." That's just weird to type out. Now it's just 2 simple words, Minxi and Noodle.
So, it sounds like you and Minxi will be together usually from Friday night to Tuesday morning or afternoon. A few hours on Friday night, all of Sat, Sun and Monday, and a few hours on Tuesday. Both of you then have Tuesday afternoon/evening, Wed, Thursday and most of Friday to yourselves, to do as you please, to spend with whom you please.
And it seems you want to request that, on Tuesday, Wed, Thurs and Friday during the day, she only spend one of those days or evenings or overnights with Noodle (or any other guy?). For at least a few months? Otherwise, if she wants company, it needs to be family or friends only? But if her NRE resurges, she might spend time each evening texting or on the phone or Skype with Noodle, and you wouldn't need to know...
If she is out of sight, out of mind, so to speak, in the city, what would be bad about her seeing Noodle more often there? Do you want her to call or text you every day, more than once, or do you want a short good night text? What would help you to feel secure when you're apart?