I can venture a guess as to why
Gizzy scratches in a more excessive way perhaps more than most DSH/DLH at the inside of his box and around the outside of it on the floor near his dishes. This is an instinctive behavior with most wild cats to bury their uneaten kill or feces, whereas spraying is territorial marking. Being a part Bengal half of Gizzy's genes aren't very many generations removed from the Asian Leopard cat which is one of their ancestors, so maybe it's a little more "wild" behaviour he's showing.
As far as dragging the blankets in his cage, probably just something to do out of boredom. Since he likes rearranging his bed and other stuff, just let him do it, but I definitely wouldn't leave a wet towel in the cage bottom (for 2 weeks?). You might try him with different things to play with. e.g. cardboard egg carton so he doesn't get bored with the same "toys". This is going to be a challenge because Bengals are active, curious, busy cats, so he's inherited some of those traits.