If you-would you work with acrylic and textural strokes the problem with fishing line, would not have arisen but since it is oil - it will not stay on your line because monofilament not soaked - with time-based paint in its place will break up.
You can rip on the thread negruntovanny canvas and use them very carefully (I think all the same would be rude), or use the advice given by you
VYACHESLAV
http://www.art-spb.ru/artspb257.html
Brush paintings:
1 - superficially - brush
2 - thoroughly - removing the top layer of lacquer thinner specials before you apply a new coat of varnish.