What works best for me is going to a pet store and asking for a bag of dirty substrate from their mice enclosure (used substrate, poop and stinky and all) because it's filled with mouse scent. And then get your thawed rat and roll it around inside the bag to coat it with the scent. Warm it and offer again, and the BP should take it no problem.
Like stated, rats smell totally different, so most people need to transition in this way or another way to coat the rat with a mouse scent.