IS,
I don't recommend it, BTDT. The media will stick to the inside of the case and the primer pocket big time, especially if you use a polishing agent. Better to dry them with a food dehumidifier and then tumble if you want shiny cases with a wax/oil protective coating. Clean the inside of the neck with 4-0 steel wool to assist with consistent neck/seating tension.
HTH,
DocB