Drop shotting uses an upward jerk and then a drift back down by gravity, and while it's usually done vertically, fan-casting stump fields, casting under docks and around laydowns works, obviously.
Line for dropshotting rocks? I rely on Sufix Seige and Elite... both are abraision resistant. (Sufix website offers a $6 rebate coupon for 2 spools through 9/15. Go to sufix.com an click USA, then look for the coupon link.) That's what I used on a fly-in lake in Ontario a few weeks back... full of chunk rocks and jagged boulders, and it held up great under the abuse.
But no matter what you use, check your line for nicks every so often and retie when you detect abrasion or risk losing a pig like Steezy's.