If you want to stay out of the open Bay, there are lots of creeks and other areas of flat water in the various tribs.
One spot that comes to mind would be all the areas surrounding Round Bay in the upper Severn. There are enough spots up there to keep you busy all summer.
Tollys Bar at the mouth of the Severn and Hacketts Bar at the mouth of Whitehall Bay are always good bottom fishing areas on calmer Bay days. A little further north you've got Podickery Point at the mouth of the Magothy and across the bay on the ES you have Love Point at the mouth of the Chester... all good spots.
There are tons more spots, but these will get you going. Good luck!