If the officiating standard is basically at carte blanche for defending in front of your own goal, then playing Schenn more may make sense. He might have been the only one who showed signs of being able to match up physically. I wish McDonagh would. I don't know if the others even can... for all of Lauzon's hitting record, he sure seems fairly useless in front of his own goal... a bunch of minor hits along the sideboards doesn't really do much to reduce scoring chances or quality.
Carrier is just utterly useless in that respect - if a puck hits him, he can log shotblocks, but that's about it. Stastney seems more likely to use his skating to defend nicely on the rush or move pucks up, but I don't know if he has any physical element to his game.
(And if Fabbro was playing, it would basically be a similar role for him, so it wouldn't change things).