Anyroad and Anyway

Just to supplement @ColinFine's answer:

Oxford Dictionaries Online (ODO) has:

any road (up)
chiefly Northern English informal term for ANYWAY.
any road, I’m sure you’ll make a go of it

OneLook Dictionary Search lists 6 links, but none seems to add anything new. Some of them state that it is a northern English term, and some (I think mainly the American-orientated ones) merely state British.

The Online Etymology Dictionary lists origins for any and for about 12 any- words, but anyroad is not included.

The OED says, s.v. road, in its sense no. 9:

Eng. regional (chiefly north. in later use). Way, manner. Freq. as no road: (in) no way or manner; some road: (in) some way or manner. See also ANY ROAD adv..

However, the link (ANY ROAD adv) fails, and there does not seem to be an entry for either anyroad or any road, though the former does occur incidentally in a citation from 1932 (for mill-house).

It certainly agrees with my perception that it is a Northern use. I hear anyroad, or sometimes anyroad up, here in Yorkshire, but did not hear it when I was growing up in the South.