For what it's worth, your snake will still strike and constrict the thawed prey, and most likely stay wrapped around it for way longer than you'd think would be necessary given that it's obviously not moving. If you want to give him they thrill of the hunt, you can lead him around the enclosure with it a bit before letting him have it, or wiggle it a bit once he's wrapped it so he feels like he has to work at subduing it.

But I'd make sure he's well established and eating for you consistently before playing any dinner games.

Every snake is different, but many BP's are rather secretive when they're eating. That makes sense, because if a predator were to attack when they have their mouth full, they wouldn't be able to bite or hide or flee very effectively at all; they're sitting ducks while they're eating. If I am too obvious about trying to watch my snake eat, he drags his rat into his hide with him before swallowing it (I guess he doesn't realize that I can still see the hide bumping around and moving while he wrangles his food around inside it). It might be helpful to cover the front of the tank with something on feeding day so he can't see you.

One last thing to keep in mind about feeding live vs f/t is that even if it's perfectly convenient for you to stop by the store and pick up a live mouse or rat once a week now, you're going to have your snake for a very long time and that might not always be the case. You might move, the nearest store might close, etc. You can keep months' worth of feeders on hand in the freezer, so a snake that eats f/t will always be fairly undemanding to care for. Caring for a snake that only eats live could become a real pain if circumstances change and make live feeders harder to get.