My only experience with that was the rear mast ratlines on the aftermarket set for the Revell Emden.
A thought- one thing I sort of disliked was the fact that the horizontals and verticals were the same size, big, and it looked kind of like a grating.
The last 1/350 I did with PE, for the lifelines around the main deck, which generally get paintied like bar railing even though they usually aren't; I painted the things a light gray sort of wire/ weathered rope color, and then painted the vertical stanchions ship blue. It was pretty easy because a) the stanchions were really short, and b) I did it by dipping the edge of a single edged razor blade in a little puddle of blue and "stamping" the stanchion.
Maybe you can try that. Paint the ratline/ shroud part the lighter ratline color, and then paint the shrouds only black with the edge of a razor.