First, thanks to all who posted with the solutions to this. Last night I was playing on my phone, while gaming on my computer. Phone was plugged in to charge for the night (I was about to turn in). I was basically tagteaming between the computer and the phone; when I needed to wait for something ingame on my computer, I'd play a bit on the phone. Put the phone face down on my lap, something I'd done many times before. It'd been like that for just a few minutes, when I picked it up to resume where I'd left off, and there was the unresponsive black screen of this forum. Bottom keys would light up occasionally, but were unresponsive, as was home button. LED light came on to show phone was charging when plugged in. I gave up and went to bed.
This morning, I searched online, and after reading this thread, I tried the power + volume up, and got nothing. Within seconds of trying power + volume down, I got an instant reboot, phone working fine again. As with others, the phone rang when called while this problem occurred.
My display settings were what they came with for the phone, save that I'd taken off the automatic brightness adjustment. The "Keep screen turned off" option was "off".
Phone was in its Otterbox case at the time.
Thanks again for the help!