My mate normally finds one down the road from the Arkles, normally around the spot you would take the turning to go to Goodison.
Failing that there are a couple of places where mates of mine who are from Liverpool have parked where you are supposed to be a resident, but you never have any problems.
When I've taken my Mum or my Auntie, I usually use the school one as well, as they are happy to pay the tenner because they get worried about parking etc.