Two Roses, from Runeterra and Remnant
New idea, one that is much more within your wheelhouse:
In the world of Remnant, in the Kingdom of Vale's Beacon Academy, there is Team RWBY, a quartet of young women aspiring to be Huntresses who will protect the world from evil men and the Creatures of Grimm.
There is Yang Xiao Long, a thrillseeker and supportive big sister chasing a ghost of a woman.
Another is Blake Belladonna, a repentant terrorist in search of a better path to justice and equality.
Yet another is Weiss Schnee, heiress to the wealthiest company and name in the world, who seeks to forge herself anew out from her father's influence.
And last is Ruby Rose, a prodigy chasing her mother's ghost, who has been appointed leader of this team.
These four are the best of friends and the truest of comrades.
But in the world of Runeterra, in the city-states of Piltover and Zaun, their counterparts are the interest of enemies.
Yang Xiao Long is a Piltover Enforcer with a maverick style and a massive temper, pursuing one criminal above all others.
Blake Belladonna, a daughter of Ionian refugees and a victim of the experiments of the mad chemist, Singed, works for the brutal chem barons in search of someone who can cure her.
Weiss Schnee is a Demacian refugee using her magic to make a living in Piltover - and to spy on behalf of her superiors in Noxus.
And Ruby Rose is a Zaunite scavenger and artificer whose sense of right and wrong puts her at odds with all three of the other girls.
These two groups were destined never to meet, and they DON'T.
...Well, most of them, anyway, because an accident of magic and technology has caused the Ruby Roses of the two worlds to switch places!