I can see them using Wonder Woman, since she's a friend of Barry and would do it as a personal favor.
Despite the fact that she has absolutely no experience in creating fake identities, and, moreover, is really in no position to go asking people to create fake identities, since she was only recently given a fake identity herself?
If you told Barry "Oracle" you'd get "who the hell is Oracle" then you could go "the former Batgirl" and he'd understand.
If you told him "Wonder Woman used her government contacts" he'd go "WHAT government contacts?" and you know what?
That would be a damn good question. She trusts Etta, maybe Nemesis to an extent (but only very recently, and the storyline where she opens up to him is also the story where her secret ID is getting destroyed) and that's about it.