Looking for Accommodation in Takayama

I know this has been asked before, but the places that have been recommended are full. We've tried Rickshaw Inn and Sosuke (I think that's how you spell it!).

Any other recommendations? We want to try and stay in a Ryokan. And we're trying not to spend more than $100 per night (for both of us).

Any recommendations would be most welcome!

Thanks!