Looking at those DYLs I can't see those being moved, but have you any idea why the council have refused to put in resident parking bays ? If you could assemble enough signatures for a petition, you might get a result, but many people may be reluctant to pay for resident permits. Councils will always find a way to make money out of a parking scheme !
I don't know what hours you work, but the zig-zag school markings for "No Stopping" only apply 08.00 to 17.00. Outside those hours, there is no parking restriction, because there is no other road marking there, like a single-yellow.