Wafes

Hello, I want to do a Pokemon Y randomizer nuzlocke. I have it all randomized and ready to go. However, I am aware that you can't randomize starters using Pk3DS. I went ahead and generated a random Pokemon to use as my starter. So this is my question. Would I be able to somehow Pokegen that Pokemon into my randomized Y version being loaded through HANS? Or would I need a seperate 3DS and trade that Pokemon over to my randomized Y verision? Thanks for reading and hope you can help!