We love this idea. Please could you work with a serif typeface and perhaps loose the bottom 4 stripes on the horse, leaving just the top 4 - so that it looks like a horses' mane, rather than it looking like a Zebra.
Potentially also try combining the horse with the crescent shape, to simplify the logo?
We like the crossed legs of the horse, and the horse posture in general.
#26 - the client has commented that the horse looks a little too much like Pegasus - i.e the appearance of a 'wing'. Could I suggest loosing that curve.