We're on the Chesapeake, boat size and shape somewhat similar to yours...
I've used a Delta; I think an elegant design, but one size larger than recommended for our boat has NOT/NOT worked all the time in soft mud. (It now lives oboard as an available spare.)
We carry a Fortress -- one size larger than recommended -- on board (dismantled, in bag) as our secondary working anchor, along with spare rode. It works very well; haven't had problems with resetting. Two sizes larger would be even better
Our primary working anchor is an adjustable SuperMax (recommended size), and it has always worked. Soft mud, hard mud, sand, grass, whatever. (No experience with this anchor in a rock bottom, though; can't speak to that). I would normally choose one-two sizes larger than recommended, but this came off an earlier smaller boat... so we haven't upgraded yet... and haven't needed to.
FWIW, we keep only a short (25') chain leader on the rode, and we have a saltwater washdown at the bow... to keep the typical Chesapeake mud off the foredeck and out of the rope locekr to the extent possible. I would prefer to carry more chain, but the mud gets into the links, what a mess...
-Chris