Compositing moving footage into a rotating TV in AE

Hi, been into AE for a while, but only getting more full on it with it recently... just wondering if anyone knows how to / has experience on comping in moving footage into a rotating screen?

I have been doing it manually but it is painstakingly slow and the scale / tilt etc make it very difficult to get right.

The situation is:

There is a product shot that the TV starts facing you and then the TV starts to rotate (spin around).

I have a footage I want to put / composite onto the TV whilst it is rotating.

Have tried a basic 3d effect which helped somewhat, but the angle is still not 100% / I need to scale it up later on to make the whole frame fit into the TV etc..


In FCP I was able to distort the image and do this manually but it produced some jagged lines along the footage sitting in the TV - so didnt look to smooth.

I figured AE could do a better job.. any help would be fantastic Cheers!