I understand that you have tried several troubleshooting steps. Every system has different keystrokes to toggle the display depending upon the system model. I want to check if you used the keystrokes to project the display on Samsung TV.
For the Studio XPS series, press <Fn> and <F8> key or press <Fn> key and the dedicated key between F12 and Insert keys for toggling the display as shown in the image.

Is the input on Samsung TV selected as HDMI?

Hope this helps.

Thanks and Regards,
Manpreet C