mounting a board on floated drywall
this seems pretty basic, but i'm not quite sure about the best approach.
i'm hanging a 1x4 board horizontally in my kitchen and a 1x2 parallel beneath it. the 1x4 will have hooks in it to hold my cast iron skillets and the 1x2 is a bumper to protect the wall.
my kitchen is drywall that is floated out from the plaster underneath with furring strips. so the studs are nearly impossible to find and in any case very deep being beneath drywall, an air gap, plaster, and lath.
my first thought was to mount my board to the furring strips, but that doesn't seem like a good idea because of the weight. my next thought is to use wall anchors, but then i would have large screw heads exposed on the front of the board.
any ideas for this basic task? ideally, i'd like to not see any evidence of the fastener on the front of the board.