Here's an update on this dishwasher. I went ahead and ordered the drain valve first since it was the lower priced item and the one the board was saying was a problem. I installed it and cycled the unit, same problem. So I reinstalled the original drain valve and ordered a control board for it, keeping the drain valve in case it was both. I installed the new control, plugged it in, said a quick prayer, and heard the sweet noise of water entering into the dishwasher.
In short, it was the control board.