I've had a lot of short hair cuts. My favorite short-and-curly was very flapper style. The stylist cut my hair dry and sort of shaped the sections of wave around my face. It may be just my hair direction, etc., but it looked really good and didn't require a lot of styling.

If your hair grows very curly right from the root, however, it could go kinda wrong... I can see that being a little odd. Most pixie cuts, like Ginnifer Goodwin's (she's lovely!) look good when pushed toward the face. Do you have root curl or cowlicks that would make that difficult?
I sort of blog
I'm mostly away doing field work through mid-May.

Hair: curlybob, fine, dense, low-po, big waves/ringlets (2C/3A)
Co-Wash: Nature's Gate Herbal Conditioner
RO: YTC Carrot, Aubrey Organics GPB
LI: BS Shea Soft Styling Cream (HG)
Styling: KCCC, Garnier P&C Gel
1xWeek: low-poo, gelatin PT or Joico K-Pak
Hair Likes: aloe, coconut oil, humidity, protein, long walks on the beach