Free Step Dodge

Running is probably faster, but crouch dashing avoids high strikes and throws.

Yeah, CD seems most efficient. Keep in mind you can potentially cancel the movement in time to avoid a reaction from your opponent but you should be careful anyhow. Are you refering to normal CD or Wave dash?

DOA does not have auto neutral guard similar to Tekken the moment you get back up (hence why wave dashing was super strong in that game because you can crouch dash, let go and automatic block). Whereas in DOA you don't have that option and very likely to get hit on NH from a mid or a low, on top that it's character dependent.

You'd better off running and immediately tap H.