x3
A BP isn't going to think that your hand is a rat... your hand doesn't look, smell or give off the same thermal signature as a rat. If you get bit it isn't because your BP thinks you are food.
Moving a snake to a feeding tub increases your chances of getting bitten vs just feeding in the snakes cage. nearly every major breeder feeds their snakes in their cages without any issues. Personally I have 7 snakes all fed in their cages and I haven't ever been bit because of it.