Sound like a solid plan.
As for ideas for climbing, if you want stuff to climb on/around, you might find some small cork bark pieces you can put in any open space. Flatter ones can be climbed on or around. They can be baked or cleaned/sanitized with a bleach soak then water soak as needed, but may be best not to add until you are sure you're mite-free.
Or you can get some PVC pipe, some elbows or tees and end caps and build your own short climbing structure. PVC is pretty easy to sanitize with bleach or other disinfectants for QT.
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