Love it. We used a Fasade 4' x 8' sheet in our craft room that cut very easily with tin snips and glued to the drywall with Loctite construction adhesive. So simple and looks great,

Cheesy plastic, and looks it.

no to the plastic stuff. that's horrible looking w/all those grooves! .

you mention brick and stone, but not tile? tile is super easy to clean.

what's the rush? why not wait until the kitchen is installed and come back w/pictures?

if you don't like a tile, then try the beadboard backsplash. (just don't get the 4" riser backsplash of the countertop)

here's one w/the 4" piece. if you like this look, go this route.

I like this style better. might suit your kitchen style

https://julieblanner.com/beadboard-backsplash/

behind the stove, do a nice tile. easy clean up

or do a piece of countertop behind the stove. if the burners are far enough away, it will be fine.