All my spots are way north. I'm in Manasquan now but I was in the bay a few years back.
I never really did fluking outside of Barnegat Inlet. I have fished inside, south side of the inlet is sand and shallow, can be good if there is not a lot of traffic. Fish the channels behind the inlet on outgoing., warmer water might turn them on.
If you are new to BI, just note that the north side jetty has a long stretch of submerged rocks with a red light on a tower at the end. Every year some poor unsuspecting fool runs right into them. There can be a bar with breaking waves if you go straight out the inlet. I have always stayed tight to the north and looped around the red light.