I don't like jumbo anything, rats, mice, etc. They are very fatty relative to a younger mouse, rat, etc. Of course, I have more boas than anything, and they are sensitive to fatty meals, much more so than a BP.
I would offer 2 or 3 adult mice in a sitting IF he doesn't switch to rats, which he should over time. However, if Stewart Reptiles says jumbos are okay, then she knows much more about BP's than I do and I would defer to her.
How often are you offering the rats? At that weight he should be able to go a little while and get good and hungry, but you don't want to overly stress him out either by offering frequently.
Also, as stated, offer a similar sized rat, like a weaned rat, but nothing bigger right now.
Good luck and let us know how it turns out.