If your character is strong enough to stand on her own, then why bother having a link to Doyle in the first place?
His keen mind was developed by his mentor, Scots Doctor Joseph Bell. Someone teamed him and Doyle up as characters.
It was on Mystery a couple years ago.
Doyle has been used many times over Sherlock.
I'm just thinking leaving out the Doyle connection might simplify things for you and keep from treading over ground already well-covered by others.
As it happens, I've been a Sherlockian since the 5th grade, and have a LOT of books on Holmes, Doyle, Houdini, and the times they lived in. It's a rich era in which to play.
Please do read the Amelia Peabody mysteries, which are an absolute delight for Victorian who-dunnit, with no mention of Doyle, but plenty about contemporary archaeologists of the time. Start with
The Crocodile on the Sandbank.
If you're planning a Victorian mystery, please do read those, as Elizabeth Peters has been one of my writing mentors. I learned a lot from her! Her MC is an independently wealthy woman traveling the world with her infamous parasol, solving mysteries. I swear that Peters used Kate Hepburn as a model for Peabody and perhaps Sean Connery as Emerson!
I'll be re-reading her and Doyle's works again before I start on my own Victorian adventure next month. Read
other mysteries written back then as they give you a feel for the language used.
You'll also find
these books
of help!