It seems like it will be too big. If you're fishing your jig deep, you want to be able to reel up more line before you cast. It sounds like that would be too large to fit through the guides on the rod.

My favorite float stop is the nail knot. You can make your own or just buy them. Outdoor Emporium sells them for ten cents each. If you use a heavier main line than your leader, you should only need a few of them all winter.