ilovemycop, I imagine you could reduce the honey or cut it out entirely. I've heard (but not tried) of people using molasses instead, which might have different effects and can temporarily darken hair.

The idea is that honey is a humectant, which means it attracts moisture to itself. Glycerine is also a humectant, and might work similarly in a recipe like this, but I don't know what proportion you'd use.