Never saw the reasoning to create a bainite blade myself. The first I heard of it was years ago when I knew nothing about knifemaking, but loved Japanese swords. The CAS catalog offered a sword or two in bainite, and after reading what it was, even then left me scratching my head as to why. L6 I think was the tool steel they were trying to get bainite with. The way I see it, pick the steel that has the properties you are looking for. Which, if you are after bainite, I would assume super though is what you are after. Mr Lomas took the words right out. 5160 with a good heat treat (maybe a drawn spine?) should do it for you. But really, I'm just talking out loud here. You do what YOU want to do....and have fun doing it! Hell....look into the L6 if nothing else!
I guess to give the best answer, could you tell us what size of blade you have in mind, and the intended use?