I think if you're looking for a WIND deck which doesn't often make Chidori, you will want to look at the roboplanes that we got in the last two or three sets. They're pretty cool (a bunch of neat tricks you can do with Spiritual Wind Art - Miyabi, which is an awesome card by the way, as well as the tokens you get randomly from ... well ok never mind). You can even play Scapegoat! Seriously go check the roboplanes out.
(Yes, I recommend external token generation largely because 1, you can do whatever you want with them as long as you don't want to bump your roboplanes' levels, and 2, they are much easier to summon. Scapegoat is legendary because it gives you 4 shots with your effects and also serves as a 4-sheep defense if nothing else.)
Roboplanes play okay with Divine Wind / Harpie Dancer. Tempest on the other hand is actually surprisingly decent (you may wish to run Debris Dragon for Black Rose via Raystealth).