Congrats on him taking the food!

I'm not sure if the prey item would cause him to get stuck but I definitely have seen BPs get stuck in hides or cage furniture that is too small, here is any example: https://www.youtube.com/watch?v=k9NClh7sz00

They will try to cram themselves into any small spaces so it's best to avoid keeping them with anything they can get stuck in.

Appropriately sized prey is around the width of the widest part of the snake's body, and 10-15% of its weight.

The hot spot temps should be 88-90F, cool side should be around 78-80F. As long as you have the temps right and identical, secure hides, BPs know what they need to digest and will switch back and forth as needed. Mine tends to spend the first day after eating in his cool hide, then switch to the warm for the second day.