I know some people use eggs for their hair, but I just can't bring myself to do it. I prefer gelatin. Based on your hair properties, you should not have an issue with protein. Have you checked your current products? Chances are that at least some of them have protein (hydrolyzed protein, amino acids, keratin, etc). How your hair feel when you use those products will give a better indication than putting egg in your hair (I used to do egg white masks on my face, just the thought of eggs in my hair makes my scalp itch, too, and my hair loves protein).

Modified CG since 11/5/11
CLEANSE: CJ Daily Fix, DevaCare No-Poo, CHS Treatment Shampoo
RO: SS Caitlin's Conditioner, CJ Beauticurls Strengthening
LI: SS Repairing Protein Treatment, CHS Silk Leave-In
STYLE: Re:Coil, Curl Keeper, Deva Ultra Defining Gel, Curls Rock Amplifier,Sweet Curls Elixirs Okra Gel and Hard Hold Gel, SS Curl Enhancing Jelly and Firm Hold Gel