Spending $7.00 at the local Home Depot, I picked up a "tempered hardboard" which is much closer to the specification of the original kick panel. Like the original, it has a textured side, and a smooth side. In under an hour, I was able to cut a new one from the board I bought, using the original as a pattern.
I used my X-ACTO knife to score the smooth surface. Then I used my Bosch jig saw to cut it out. Though not planned, I found that scoring the smooth surface aided the cutting. The jig saw can leave a more jagged edge than is desired, but the scoring facilitated making the edge "crisp". After cutting, I used various files to adjust the edges to final shape and finish.
As this type of board acts like a sponge, and expands over time as it is exposed to moisture/humidity, I will spray the back side and edges with a rubberized spray paint such as this. For the smooth face, I think Krylon semi-flat black should replicate the original finish well.
I may attempt to replicate the slots and holes in the panel with my Dremel tool. I'll see if I feel like spending that time on it.