Video Streaming Help

Hi, im sure some guru will help me with my concern,
I have a cable box in my home country and im using a tv tuner card to connect that cable box to my computer, now what i want to do watch that cable programme from my home country pc to my current location that is another country, means question is what is reliable connection pc to pc to watch that programmes, i dont want to use teamviever o remote desktop because i have to record that programme and i dont have a very fast connection to move recorded video from one location to other, is that possible a private live streaming so i can access through o any other good solution,
Regards