Sure, though typically (I'm noy sure if you know this or not) when you go for shiny's, it tells you which nature you get, and then you can switch pokemon in the PC aferwards. Then the IVs are set. So I usually fing the nature, then deposit a pokemon depending on what nature I get. I'll be sure to go for somthing on your wants list if I get that nature (cradily, now, right. I got a Brave nature, so I'm going for a shiny trick room machamp now).