I am a computer tech and own my own shop I have had several HP DV7 in my shop with the same problem. the symptoms that you are describing have to do with over heating problem but it is not a bad CPU, it has to do with the GPU (graphic card). I do this kind of repair several times a week especially on HP laptop starting from the DV2000 model. the reason is the way the cooling system is inside the system that does allow enough airflow to go through the heat sink when it gets clogged. the system inside get so hot that it meld the solder connections on the GPU when the system cools down the joints get ring cracks or cold solder on the BGA, now the video chip does not have a connection to the board and that is why you do not see a display. cooling pad only give airflow to the bottom of your laptop but if their is no airflow going threw the system itself it will get hot. I would suggest you send it back in for a warranty repair and if you are a smoker don't let them know as it may void your warranty and I am serious about that.