Our 9 month old dog destroys my things if we don't crate her at night, is this puppy behavior or something we can work on?

Hi. We used to foster through our local shelter, and foster failed with the last puppy. Lucy, the new addition , is around 9 months old and spayed. She was brought into the shelter with her litter mates at 14wks, and all were very timid. We worked a lot on obedience and commands, building trust, not rushing her - luckily she's very treat motivated. Lucy gets plenty of exercise everyday - we own a gym, and I work from home, so it's usually play with toys, the other pups, or a long trail walk where she can use her nose to sniff - on leash, of course. She still doesn't love strangers or people coming right at her, but we know that's a work in progress.

The biggest issue is at night. We mostly crate her, but occasionally my husband leaves her out, and she goes on a path of destruction. Only on my things. Other than crating her, or making sure everything is picked up, is this still puppy behavior or something we can work on?