I too have a dead Windows T100 Transformer. But mine is more dead than yours. I don't suggest repair. Shop for a refurb or used.
My ASUS transformer tablet won't start. I have tried holding down the power button and after about 10 seconds it boots up. If I continue to hold the button down it will boot into the desktop. It will even update my antivirus software, but as soon as I release the power button it shuts down. I have also tried holding down the volume down button as well, but it still shuts down as I release the buttons. Any suggestions?