Night time fishing the lights on the docks with small white sassy shad or grub will get you bit. If that don't work take a live shrimp and fish it with no weight around the lights or just outside the light.
And this time of year isn't real good.
I don't know -- you might try this, I've had a bit of luck in the winter catching sheepshead:
Go buy one of those roofing tools that looks like a hoe that's been bent out. Or just get a flat head shovel.
Walk along the bulkhead and scrape barnacles in the water. Do this in a few places, spread out by 10-15 yards. Middle of the week in the winter means you can probably walk up and down the bulkhead in front of your neighbors' houses and scrape barnacles as well.
Go find a bunch of hermit crabs (pick up along bay shore), fiddler crabs (watch youtube about how to trap them) or get some live shrimp. You can...extract the hermit crabs with a hammer. I think you could also use dead shrimp or oysters here as well. Fiddler crabs are by far the best (hermit crabs a close second), but you have to go catch them yourself (there are lots of youtube videos about this).
Tie on a single hook (gamakatsu octopus hooks, maybe size 2 or 1/0...sheepies will crush a treble hook), you can use a split shot weight if you want, and drop into the water near the places where you scraped the barnacles.
Generally, this will be good for a bunch of sheepshead, which are fantastic eating fish, if a bit hard to clean. They'll spook if your spots are too close together, generally you can walk the fish up to the house, clean it, rebait your hook, grab a beer, and go catch another.