My BP does something like this too. We buy frozen rodents in packages of 50 or 100, so he's "outgrown" a single serving of a particular size before we run out of them. Following some advice I picked up here I opt to feed him multiple smaller items.

Typically he strikes the first prey item like he's never going to eat again. And based on how big it is and/or how much trouble he has getting it down, he will either strike #2 and #3 or I just place them outside his hide and he sneaks out and snarfs them down within about an hour or so. Most of the time he pulls it just inside the door of the hide and works on it there.