Schnees with bob sole or the LL Bean Hunting Boot are both good.

US Army jungle boots with the wedge sole and small, soft lugs are quiet, but soak up water.

Rocky Outbacks have a sole, so I don't break a branch, and are Gore-tex lined, 100% waterproof, and they are light and have lots of feel and grip on wet rocks and wood, but mine squeak where the tongue meets the leather for the eyelets.
I solve that by cutting the bottoms off an old pair of thin over-the-calf dress socks, which I slide into the upper portion of the boot, as far down over the tongue as a I can, then lace them up.

My old Russell and Browning kangaroo skin bird hunting boots with the soft wedge sole were very quiet, and I could walk all day behind the dogs in them. Great for stalking deer or hogs in the woods, too. They just have too much flex for really rough terrain, so your feet do a lot of twisting and feeling every rock.