Publishing Ethics: not listing Professor's name
Why not ask for his feedback and if he would like his name on it at the same time?

He has two responses:

Yes, I’ll give you feedback and would welcome my name on the paper.

Or: happy to provide feedback, but due to X, can’t put my name on the paper, thanks for asking though.

I have assumed that he won’t refuse to provide feedback. The first option may lead to a better paper.