Yes, you can use the standard skirted spinnerbaits in saltwater. Actually, there are dozens of spinnerbaits designed FOR saltwater - none of which are the skirted variety, though.
I throw skirted spinnerbaits and chatterbaits in the salt with plenty of success. I tell my buddies this all the time: if a bass will eat it, a trout or redfish will eat it. I haven't found a "bass" lure yet that a saltwater fish won't eat. Senkos, cranks, grubs, swimbaits, Texas rig, Carolina rig, finesse worms - you name it. I've caught saltwater fish on all of it.
And in terms of keeping the grass off, the spinnerbait will work pretty well, but the arm and blade assembly are still going to snag some grass. I've found that chatterbaits come through grass a lot better than spinnerbaits. And if it's really grass, just use a Texas or Carolina rig and you won't have to worry about a thing.