6 Month Old Ball Python still acting hungry after two small mice?

[Craiga 01453]

Honestly, he loves coming out, he’s very social and being moved or handled isn’t stressful to him, and he trusts me enough to pick him up. He knows the difference between my hand and his food, as he instantly snaps out of his hunting mode when he sees my hand and goes back to wanting to be held, but obviously I can’t do that so I just move him back to his cage. Honestly, it seems to work out perfectly fine for us, and as he has aspen bedding, I don’t want it to get stuck to his mouse. And as for refusals, he hasn’t refused a meal for me yet, so that seems good as well.

Well, there's no way to tell a snake "loves coming out". BPs tolerate handling, they don't seek it out.

Your snake, your choice. But I'm telling you as someone with about 15 years of experience that you're better off feeding in his enclosure.
If you're worried about substrate ingestion, consider this: they've survived thousands and thousands of years without us cleaning off a place for them to eat. Nobody moves them to a clean environment to feed them in nature, yet they've basically been around since the dinosaurs. In the future you may want to consider a Coco coir substrate as well. It holds humidity well, spot cleans easy, absorbs odor and looks naturalistic. It's also not nearly as dusty or messy as aspen. But that's obviously up to you.