Pretty!! Think about logistics of cleaning at counter level too, especially behind the stove area. These types of embellishments are often used in a linear bar or a featured framed out area (or focal point) above a sink or cooktop. Be sure to weigh the esthetics to the clean-ability.
The tile seems like it is plastic, that is why I am not sure if it is paintable.
Is this metal or the nail on faux kind? From your post it sounds like it's installed already which would make spraying very difficult. Either way you can use CeCe Caldwell's Paint and Satin Finish. You can paint anything with this stuff. Really anything, glass, leather, fabric, walls, metal, plastic, laminate....you name it. And a little goes a long way! I use it for furniture all the time - www.shabbydaze.com
You should take a picture to a professional paint store so they can help pick out the right material and give you steps for painting procedure.
Everything can be painted Diane.
Clean it with denatured alcohol and scuff it with a sanding sponge.
Then you can prime it and paint it.
The primer is the most important part.
Is it metal?
It is definitely not metal. It is some sort of plastic. There isn't much of it so if it can be painted that would be the best and easiest option.
I have that in my kitchen.I bought it from Lowes I think.Mine is plastic.I think you can buy paint that will paint plastic.should be find.
I would visit HomeDepot or Lowes and look at their spray paint section. I'm sure Krylon or Rustoleum has a spray paint for plastic, they definitely have paint for metal.
Yes, a good alkyd primer like XIM or Styx is where to start. If it was any place but a backsplash, any primer would do. But in this case, you will need maximum adhesion and durability. Be sure to sand it lightly before you start. . . just enough to rough it up and get the shine off.
Zinzer 123 is adequate and easily available.
Spray would infiltrate the whole kitchen +.
All you really need is a small foam core roller.
They are Thermoplastic - check out their website, perhaps there is more info there.
The backsplashes are available at Home Depot for about $20.00. I would invest in one of those and do some samples of what you are looking for and which one you like best. I would try some plain brown shoe wax (canned) around the textures.