Here a few ideas, with similar premise. The premise is Usagi is a Sailor Animamate named Sailor Silver Rabbit. Now here's my two ideas that can be combined as one:
*Partnered with Sailor Iron Mouse, Silver Rabbit has to find true Star Seeds as well, but she chooses people who actually are nice and decent people (rather than the celebs her partner hunts). Of all the Sailor Animamates, she actually gets the closest to finding true star seeds, sometimes going after people close to the Senshi.
*When Silver Rabbit hunts for true star seeds, her mission brings her to Mamoru Chiba. Instead of stealing his star seed, she begins falling for him and begins an affair with him, hiding him from the rest of the Shadow Galactica.
Here's how I imagine Silver Rabbit's personality is. Like Aluminum Siren, she sometimes loses focus on her goal, but only because she is easily astounded by things on the planet. She likes the people, nice to cute animals (including Luna, whom she could meet before she's revealed to be a Sailor Animamate), and entertained by things like shops, arcades, parks, etc. Her amusements sometime annoy her cohorts, but she does focus when confronted with her target.
Then who is Sailor Moon?
The police find the monsters of the Dark Kindom and calls the Japanese Government about them. Te government goes out to seek their base in Antarctica with the Inner Senshi.
The police already found the youma in both manga and anime. In the anime they did nothing, but in the manga they pestered Minako 'till she accepted to work part-time for them.