Alright, "kodachi" simply means short-sword, the wakazashi (later sword, often paired with the katana) is essentially the same thing, and you might have an easier time finding a school that teaches it instead. Either way, you will have difficulty because, frankly, it isn't taught very much, and if you can't find an Araki Ryu school within reasonable distance (as Charles suggested), you might be out of luck.
If you want a deeply integrated hand/blade art and don't care about what blade you use, I would suggest that you learn Kung-Fu. You have the empty hand half of the art, and after you have reached a certain rank (specified by your school), you may be taught weaponry.
Your other choice would be to find a unified jujitsu-kenjitsu school for hand and blade.
As Glad said, it is far better to learn a unified style from a single school rather than learn two styles and tack-weld them together.
Fencing Club at UH