#1 Avoid SS nuts because thread galling can ruin a prop shaft and the nuts. I've seen this more than once $$$$$. This is why you see so few SS prop nuts. Also shafts are not really a typical 304 or 316 SS, nor should they be, they are in the stainless family but not typical SS but they are still prone to thread galling..
#2 Prop nuts are technically "brass" not a true bronze. Almost all of them, unless you source from a disreputable supplier, are "Manganese Bronze". Manganese bronze is really only a bronze by name not by composition. Technically manganese bronze is a brass but it's not a low grade Home Depot "yellow brass" consisting of only copper and zinc.. The nuts are usually made from the C86500, C86200 or C86300 metallurgy, the same metallurgy used in the vast majority of props. Of course because "manganese bronze" is not really a bronze, like good seacocks are made from, and the nuts and prop will rely on your anodes for protection.
"Brass" prop nuts are used because they are essentially self lubricating (no thread galling) and they match or closely match the alloy of most props. Standard yellow brass nuts are not the same as a C86500, C86200 or C86300 manganese bronze/brass so the two should not be confused. Unless you can confirm the metallurgy of a "brass nut" stick with nuts made for prop shafts and purchase them only from reputable prop shops.
#3 Nyloc prop nuts are widely used on ski boats and outboard motors, backed up by a cotter pin. Most of these applications have significantly more HP than our boats do. A castellated nut is still preferred over nyloc, if that is what the prop shaft was cut for, but a king nut (full height nut) and jam nut (half height nut) and cotter pin are the industry standard procedure.