Marie sent me a list a little ways back. You might get help if you join one of the Austin Vegan Facebook groups and ask there too.
Austin Tattoo Company: Cory Schofield
Americano Tattoo: Dean Mitchell
Golden Age Tattoo: Stacey Martin, Annie
Atomic Tattoo: Ashley Thomas
Affinity: Nic Lynds and Ollie Haerle
Resurrection: Jenna Lee
For the record, I received a reply from Austin Tattoo Company in regards to their vegan status:
There are no vegan tattoos, ALL black ink contains animal bones.