I'm a mix of 3s and I had a pixie cut a couple of years ago; I'm actually still growing it out right now. I really enjoyed the look, but I did wear it straight. I'd recommend that you get some photos of different pixie cuts to help you determine what you are looking for. Halle Berry had a gorgeous very short pixie that could work for 3b hair; you could try googling that.
The one thing I would caution you about is that very short cuts like pixies require quite frequent trims, otherwise they can start looking ragged and messy (in not a good way). Maintaining the style can be quite a financial investment, especially if you tend to use deva stylists.
Anyway, good luck! If you do get the cut, post some pics!!