First, Is there any way we can type in the direct IDN string, or punycode, ex: "xn--h9g". There are some browsers that support non UTF-8 characters in the address bar and these characters can be represented as a legal IDN string, however your search does not allow them.
Second, when doing an IDN search, only .ws says avaialbe, even when it is clear that the other TLD's are not taken. At first I thought perhaps the others in the list don't support IDNs but according to your TLD Table here, most of them should.
I'm having the same issue as alex_d. Am I doing something wrong? I searched for "◕‿◕", and here's a screenshot of dynadot search results: http://i.imgur.com/Ad8tr.png