Player-controlled free-spinning hinge joint

Hey all!

I've been playing around with itween and hinge joints lately to accomplish what I feel like should be a reasonably simple task. I want the player to control a paddle (i.e., brick breaker style), but rather than moving that paddle side to side, the player will be moving the paddle in a full 360 degree arc.

(think like this: https://youtu.be/VWbf6NACebg?t=1m28s)

Movement will be constrained to only that circle, but should be completely free-spinning - if the player wants to just hold left all day, then they'll go clockwise around the thing all day, and vice versa. Additionally, that paddle would be facing outwards (or inwards) no matter where it is in the arc - always looking at (or directly away from) the center.

For whatever reason, I'm having a lot of trouble with that. Hinge joints aren't being nice - I'll anchor the paddle to a point, and give it movement speed and all of that, but it will be constrained to something like 40ish degrees of movement (20 either direction). If I crank the speed up to something really ridiculous, it'll go up to around 120ish degrees in either direction.

Any thoughts on this? Any simple fixes I'm missing completely? Thanks in advance, and I'm sorry for the lack of code examples - I'm still just playing around with it, and I haven't settled on anything real yet.