This is possible by remote viewer connected to computer itself.
I used TightVNC – see the result:
You should be able to achieve this also with other similar products.
Steps:
Download and install TightVNC client + server from their download page.
Launch the client and enter
localhost
as remote host address.
Note: Maybe TightVNC server always transmits only top left corner of the virtual rectangle which includes all your displays. So make sure that your TV view is in the top left corner of that rectangle (i.e. it is topmost and leftmost monitor in Display control panel.)