My crystal ball is out for repairs right now, but I will say that it's far safer for your snake (sooner or later, your snake WILL get injured by one or more live rats, & such
injuries can be minor or serious requiring vet care & can even result in life-threatening infections), it's more humane (rats are actually quite intelligent & affectionate...
I kept pet rats long before I got into snakes), and it's more "convenient" in the sense that you can keep a supply of the correct size food on hand in your freezer.
But, if you meander around this site, you'll find plenty of threads by those having trouble with getting their BPs to eat: why? BP's use their heat-sensing pits to sense
the presence of prey, so you not only have to thaw the frozen rat, you need to warm it so it's "lifelike" & registers as prey to your snake. That means proper thawing &
then many here find their best success by warming the rat's head using a blow-dryer & feeding quickly, before it cools off.
Yours is so enthusiastic about eating that it might be an EASY transition, but there's no guarantee. I want to say "yes!" (switch to pre-killed) but you'll be living with the
decision, & it will be a learning experience for you as much as for your snake. BPs can be very fussy eaters...the snakes I personally keep couldn't care less if their rodents are lifelike-warm, but they're not BPs. (I've kept BPs in the past.)