Unfortunately, Smart TVs do not support Smart Flow due to the low limit of the embedded browsers. You may try to connect it to the computer and use it as a regular second monitor. 

We recommend using a large monitor or television screen in the main treatment area of your clinic. That way all staff members can see exactly when patients have treatments due. 
It is hard to recommend anything specific since these days any TV has the ability to connect to a monitor. The only thing that you should look into is what adapter your computer has (older ones would have VGA, HDMI ideally) and the wire should be long enough to connect to the nearby computer just like a second monitor.

One clinic's experience:

"We experimented with a smart TV and are using its browser to pull up Smart Flow. When we add a patient or TX on a desktop the updates don’t instantly appear on the TV but they do on other PC’s. We decided to go with a PC mounted to the TV’s."