i'm in your conscience
Why don't you change your challenge to the alternate one? That's when you put one Pokemon from your regional dex as your favorite for each type and then you use the one and only Pokemon for each type you're assigned. Or if you're able to wifi trade, then you could get your Pokemon from the Trade Corner here at PC. I'm sure someone would be happy to trade them to you.
Or would you just rather have new types entirely since what you got already seem to be too difficult to obtain in-game?