Could you go 10 feet? I think the best thing to do to sneak out would be to put on a few of the correct type of items to make facial recognition difficult, and have enough options you could pop into a shop and discreetly change outer layers while exiting different doors (where possible) to slow the tracking down.

Since they all have cameras, you couldn't go on a local bus or train without wearing sufficient clothes to obscure your face. For example, a hoodie + cap.

Cycling while avoiding roads with lots of shops is probably the best bet. In practise, private cameras aren't an issue except in very unusual cases. (E.g. with runaway children there might be a request for shop owners in a specific area to check their recordings.)