Seems possible. These are the steps I took:
1. Superflip alg. Now there are 5 colours on each side.
2. A few 180 degree turns. This mixes up colours a little more and brings opposite colours onto the same face.
3. A few monoflips. This makes sure each side gets 6 colours.
Anyway, I don't know an efficient way, and I was too lazy to experiment with a more random scrambling method. Pattern databases might already have this but I'm too lazy to check.
I can add on pictures if you want.
lol, here to help ^_~