Defo paint it black,look at my pics and it looks like i have no wire in places where i've painted it black and like i say use a fluffy roller(look at the panels on the floor in the new bit,one is painted the other isn't and can you see the difference?).One thing others might say is having wild bird feeders by your avairy is that the wild birds will hang onto your wire and could spread disease to them,i'd just move them away a little bit as your birds will pull in wild ones to the feeders,just to be safe sort of thing.