What county in MO?
Also - HOW do you intend to enforce a no paramour order, should one be put in place? How will you know, without asking your 6 year old and dragging her into the middle of the drama between her parents (and yes, this IS nothing more than drama), whether Mom has overnight guests of any stripe while kiddo is there?
Why should Mom be required to have a 2 BR apartment in a fairly expensive area (as compared to Kansas City) all year round, just so you can be certain that what, there's a door and paper thin walls btwn Mom and kiddo? Do you actually want a judge to order that Mom have NO SOCIAL ENGAGEMENTS WHATSOEVER while the child is visiting her? No parties, no people over to watch a game or play cards, no having girlfriends over for drinks, etc?
And, when Mom was local and having parties, etc, what did you do about it THEN? Just say "Well, kiddo has a bedroom, so it's fine."? Or did you have an issue and address it? The answer to THAT matters a great deal.