The last time I used a sinking line off the beach was last July when I used an SA stillwater line with a chartreuse clouser (gawd forbid!) to catch blackmouth at a zipperlip beach. I found the fish a few years ago with Lencho while doing the popper thing. I rose them (read chummed 'em up) and switched to the slimeline to get them to hit and stick.
Otherwise, I use Juro's sinking line when we're in the same boat and he hands me his rod to hold while he's steering the boat.