WebUI builder requires Silverlight. Remote panels require a browser plugin and a locally installed LV RTE. Neither of these technologies are available on Samsung smart TVs. Regardless of whether these meet your functionality requirements, that means neither is an option.
These TVs are an HTML/JavaScript platform with limited Flash support, so those are the tools you have to choose from. Websockets are definitely an option, as is building your VIs into RESTful web services using LV. If you are finding the WebUI builder graphs to be primitive, you may run into similar issues with the html UI solutions available. You can most likely achieve the displays you want, but it may take more programming than you expect.