Best way to keep hay off the ground?

I've tried several different ways to keep the hay off the ground of my 2x6 C&C cage, but for whatever reason the pigs still end up pulling it out, dumping it on the ground, and making a huge mess, which means a lot more work for me and a lot more cleaning. I use fleece bedding in the kitchen area and I'm wondering if this is a bad idea? The hay seems to stick to the fleece, which makes it super hard to clean.

What's the best, cleanest, most fun way to keep the hay off the ground of the C&C cage? I have tried a removable kitchen area with shavings and that worked alright, but the bedding and hay got trampled to the rest of the cage.

What should I do?