For the love of god don't feed the snake in a separate tub. There is absolutely no advantage whatsoever, only downsides. A snake is not going to mistake you for a rat unless you roll around in a pile of rat bedding or mess with rats and then stick your hand in the cage and wiggle your fingers like dinner.
Plus getting in the routine of feeding in the cage with a small snake like a BP will get you ready for when you upgrade to boas, retics, burms and anacondas because we all know BPs are the gateway drug to more and bigger snakes![]()