You can do this quite easily with a few extra lines in your GearSwap file. You can use the Windower event 'add item' to activate itemizer every time something enters your inventory. I recommend putting this inside your self_commands so it's not always on:
Code
if command == 'autosort' then
windower.register_event('add item',function()
windower.send_command('itemizer put "Non stacking item name" case')
windower.send_command('itemizer put "Whatever equipment drop" wardrobe')
end)
end
Then you'd just whack in the console "gs c autosort" and it'll add the event. Then, whenever an item enters your inventory, windower will activate itemizer to move it. You can add as many or as few itemizer commands inside the event function to manage all the possible drops you may want to auto move.
It should go without saying you'll need itemizer enabled for this to work. I don't personally use itemizer so if the syntax is wrong someone please let me know.