I appreciate everyone that tried to help. I had a little bit of an epiphany this morning. After digging through a drawer of cables this morning, I found the DP - DP cable that came with the old monitor (my old computer didn't have DP as an option on the graphics card) and plugged it in. Lo and behold, it immediately started working.
Not sure if this is an issue with my set up or not, but apparently, the DP+HDMI combination wasn't working.
I'm in good shape now. All is right with my setup again.
Again, thanks all for your help.