Usually Smart TVs do have their own built in browser. In that case you could try to open up the html file just to see if that browser is good enough to handle it, but if it wouldn’t be, as an alternative solution you could try to upload the exported HTML into your website’s FTP and check out its url in this browser.
Another alternative I could think of is if you would record your computer’s screen. Our slider could autoplay:
https://smartslider3.helpscoutdocs.com/article/60-autoplay
so it could switch automatically, you could make it fullscreen in your browser with F11 and then for example we are using Camtasia to record our videos and I could suggest trying out that for you too. Then you would have an mp4 file, which can surely be played on a smart TV.