UPDATE: Now available for Qunari females here.

I made a custom complexion for one of my Inquisitors out of elements from companion face textures and then suddenly I had nine more of the things. These complexions all use parts of existing in-game resources, and quite possibly others have used them in similar combinations before.
They are all tintable and usable for female human, elf and dwarf inquisitors. Each complexion has a version for the base game with a custom specular and a DLC compatible version which preserves the default.

Clio uses elements of a texture labelled only as “msca” and doesn't seem to belong to anyone in particular, Morrigan and Josie’s face textures.
Erato uses elements of Cassandra, Josie and Leliana’s face textures.
Polyhymnia uses elements of Leliana, Calpernia and Cassandra’s face textures.
Thalia uses elements of Calpernia, Josie and Isabela’s face textures.
Euterpe uses elements of Josie, Sera and Morrigan’s face textures.
Urania uses elements of Morrigan, Cassandra and Isabela’s face textures. 
Terpsichore uses elements of Isabela, Josie and Morrigan’s face textures.
Calliope uses elements of Kieran, Morrigan and Sera’s face textures. 
Melpomene uses elements of Sera, Leliana and Isabela’s face textures.

Compatibility

• Requires patch 8 or higher.
• All versions of this mod override the hf_hed_inq complexion. It will clash with any other mods which alter the same file (most complexion mods use this file as it is the least used by NPCs). Install only one at a time.
• Use the DLC versions in Trespasser, Jaws of Hakkon and The Descent.The base version may work with JoH and Descent, but compatibility seems variable and it may just as easily cause crashing.
• All complexion mods crash the Black Emporium, so you will need to un-install this mod before entering the BE (you can then re-install it after you have left the area).
  

Also seen in my screenshots:

• Skara's hair retexture - Realistic
• Settrah's Eyebrows
• Sho's Insane Eyes
  

Sliders for some of the models are available here.
Calliope's model is Iseut, Melpomene is Jocelyn, Thalia is Terani, Clio is Ylva and Euterpe is Einin. 
If there are others you would particularly like sliders for please let me know and I'll see about getting them uploaded. 

I would love to see your screenshots using my mods! Tag me on tumblr as anunquenchableflame when you post them, or upload them here.