Bluetabbycat
Yeah, this sounds like it could be a really good idea - particularly if you have some good twisty-turny plots.
3nodding Twisty-turny plots are what I intend to provide. Star Trek is known for having more emphasis on a good plot than violence, and I intend to keep it that way.
Also, I've decided that the main characters in this fan-fiction will belong to the San Francisco field office, as that is the capital of the Federation. Their law enforcement agency is the Department of Federal Investigations, and they are responsible for any federal crimes occurring in the Solar System. Since my writing will take place on Earth, most of my detectives will be human, though there will be a couple non-humans. All will belong to races that are members of the Federation. So far, I have the following characters:
San Francisco field office director:
Name: Sarah Davis
Gender: Female
Race: Human
Birthplace: California
Assistant director:
Name: Chen Li Dai
Gender: Male
Race: Human
Birthplace: Korea
Detectives
Name: Keira Wullmer
Gender: Female
Race: Human
Birthplace: Austria
Name: Kwasi Zuberi
Gender: Male
Race: Human
Birthplace: Botswana
Name: Evelyn Disgliero
Gender: Female
Race: Human
Birthplace: Wales
Mailo Feda
Gender: Male
Race: Andorian
Birthplace: Andoria
Medical Examiner:
Ravi Kristamena
Gender: Male
Race: Human
Birthplace: India
Medical Examiner's Assistant:
Pablo Galimendos
Gender: Male
Race: Human
Birthplace: Cuba
Forensic Psychologist:
Name: Luri Telani
Gender: Female
Race: Betazoid
Birthplace: Betazed
As I said, most are human, since this is an Earth field office. I was, however, unable to resist the temptation of having a Betaziod forensic psychologist (George Huang from Law & Order: SVU is one of my favourite TV characters of all time, so I gotta have a psychologist like him on the staff.). The Betazoid telepathic abilities would be inestimably useful for psychological examinations.