If you want to try a repair here is a link to one possibility for a video card. Note it does not have TV out--keeping that feature would increase cost. If you don't want to gamble on the repair I would buy an inexpensive external drive case that matches you hard drive. You may then pull the drive and place it in the case to connect to your new computer to retrieve your data. Good luck.
http://www.ebay.com/itm/New-ATI-Radeon-9550-256-MB-AGP-3D-Video-128-Bit-and-DDR-Memory-Card-/320919928211?forcev4exp=true&forceRpt=true