The same exact problem happened with me! It randomly went blank and when I tried to turn it back on, it went to the HTC screen and that's it. I cut the phone back off and when I pressed the power button, it would NOT charge. I called Verizon and they sent me a new phone. I've had this phone for two weeks with an Otter Box on the phone and now I'm having the same exact problem with the new device. I called Verizon again to complain about the Droid Incedibles. They are going to send me another phone. Apparently the Droid Incredible is not so Incredible.
Yeah they sent me a new one too. I ended up taking it to a Verizon store and they confirmed that the software fried. So they had a new one sent to me, and it actually came a few days early which was great!