Sounds lovely in theory, but I can only imagine the nightmare that is splattered spaghetti sauce between the boards.

DH just put up our ceramic beadboard tile, still needs grout and caulk, but it should be spaghetti sauce-proof when that's done.

Behind the range as in, all the way down? How flammable is the beadboard?

ah yes, good point about the spaghetti sauce getting stuck between the boards. I hadn't thought about that, but in my inspiration pics below, I now see that both of them have a stove with an integrated back, which I guess would prevent most of that from happening.

Another good point about flammability.

Here are the inspiration pics.

or this:

I have a much higher integrated back on my old Kenmore, but spaghetti sauce can fling itself much farther, plus out the sides.

I would be more concerned about combustibility.

I am putting panelized beadboard behind my stove, but not to the floor. I do have an integrated splash on my electric stove, though. I am absolutely unconcerned about combustibility in my case. I am only minorly concerned about spaghetti sauce, for it can be cleaned up and, if necessary, the paint touched up.