I've had bass up to six pounds off the shingle beaches to the north of the town up at the end of Naze Park Road, and further north still, along Old Hall Lane and below the cliffs at the lighthouse there is an often wild, weedy, very shallow and very snaggy beach that throws up good fish if you go at it properly - it's a low water mark though and only worth fishing a few hours either side of low water because it is completely cut off after that on anything but the smallest neap tides.
You often need fairly heavy gear on these beaches as the sea can be very choppy even in quite pleasant weather. On the wild and snaggy beach a cast of about thirty to fifty yards will put you among the fish, further and you've overshot them, and at that distance you can wade out to unsnag yourself should you (and you will) get snarled up on the well gullied london clay deposits on the foreshore
My best fish have come on whole calamari squid on a pennel rig, but the most fish come to lug and rag on straight flapper rigs, but you may be plagued by schoolies if you use them. Had plenty of eels there too.
The beaches you have been fishing are clean shallow sandy ones and though they can be good at times they are a bit featureless and lacking in food items compared to the northern beaches which may explain the small size of your catches thus far