Someone from Rhythm Heaven is a given for rhythm-based fighter, and while I think Marth and Lucina already have shield-breaking covered, a Mother villain like Porky or the Masked Man would be good for a shield-breaking focus due to possessing Shield Killers of their own. Aside from those, you mainly listed character archetypes, however. I'm less interested in character archetypes and more interested in playstyle archetypes.
-A fighter that benefits from claiming territory on the stage (Andy, Inklings)
For fear of sounding like a broken record fanboy...I feel like Sami would be a better fit for a moveset based around claiming territory, since that's kinda her thing.
I actually have a basic idea for this kind of moveset. Her standard attacks could use a combination of CQC and her
bazooka (with multiple modes functioning like different units in Advance Wars), or an exaggerated assault rifle.
However, her gimmick would come from her special moves:
Neutral Special: Create Base: Sami claims an area of the stage by creating a base. Similar to Villager's tree but not an attack. She can create three at a time and upgrade the ones she has a second time. Bases strengthens Sami's attacks and restore her % when in close proximity. It also boosts other moves. Bases can be destroyed by opponents.
Side Special: Unit Summon: Sami summons a pixelated unit to charge forward and fire attack enemies. Similar to the Assist Trophy but with less range and power. With one base Sami summons an Infantry, with two a Mech, and with three a Tank.
Holding the button keeps the unit in place.
Up Special: T. Copter Drone: Sami grabs onto a drone resembling a T. Copter and flies upward with it. Distance increases with the strength of bases.
Down Special: Fog Mine: Sami places a grenade that creates a small smoke screen from the Fog of War. Sami and her bases cannot be seen through it while her opponents can. Disappears after a while.
Her Final Smash can be an air strike or something. Her standard attacks have high knockback but low damage and scaling to keep opponents away from her bases.