... [but] I love her anyway = ... [but] I love her anyway
But when it refers to a method, anyhow is preferable:
It is important to apply the paint carefully, and with the appropriate brush. Don't just slap it on anyhow.
You may sometimes meet this in the form 'any-old-how' (very colloquial); I don't think I've ever heard any-old-way
Student or Learner