Need advice in SC, specifically Bluffton, Hilton Head Area.

I'm kinda new to the area, only been here 6 months or so and decided to take up crabbing. In the last 3 weeks (April 2016) I've been out crabbing on 3 occasions and have caught a grand total 3 crabs. 2 Blues and 1 Stone Crab. Have actually caught more fish in my traps than crabs. Dogfish, SeaBass. I've tried the new fishing dock at Squire-Pope Road on Hilton Head Island on 2 occasions and the public dock at Church of the Cross on Calhoun Street in Old Town Bluffton. I've used pyramid style traps while fishing and in fact all 3 crabs were caught in these style traps. I've also used the traditional crab pots which are approx. 9" x 16" x 24" with a bait chamber. All told, I've probably been at it 14 hours and caught 3 lousy crabs. I've been using a variety of bait, chicken necks, chicken gizzards, cut bait, frozen finger mullet, shrimp. The little bit of luck I've had on the 3 that I've caught have all been on finger mullet or cut bait. I usually try to time my crabbing to 2-3 hours before high tide until 2-3 hours after high tide. My crab pots I left over night, one with chicken gizzards, the other with shrimp. Caught a big fat 0 crabs and they were in the water maybe 15 hours. Was wondering what I might be doing wrong? Is it just a bad time of the year for crabbing in SC? Any advice would be appreciated. I am about ready to go back to golf.