I would just go ahead take it down and have it on something if its not that big of a deal and you're going to replace it anyway.
If you're plan is to keep it and wait til its all the way dead, just leave it up. When the repair man comes out and looks at it, he's gonna make a call. Or say I'll get back to you. When he gets off that call or gets back to you, he's gonna say there's no parts for that TV. and you're extended warranty company will be issuing a check for your full amount and the TV is yours to dispose of.
Also, double check with repair company they initially set you up with. If they have sent you some one from over 100 miles away when there's 2 places in town that are certified. Demand to use the company close.