Use as little backsplash as possible. This is a small sized kitchen and it is going to gobble up the room to have the whole space tiled.

I Don't understand the pictures, especially the last one

Show a flat 2 d kitchen plan with dimensions of everything.....walls windows, passages , where they lead. Feet and inches.

Either way? Too small for DRAMA.

Very confusing and awkwardly described problem. Which kitchen is yours? the one under construction or the last photo? The layout of the one under construction is not good with the range butted up against the wall, and the sink (I'm assuming) right next to it.

If you mean you want a waterfall island, this is not the kitchen for it, especially if you're choosing a heavily veined e-stone.

YOu have mich bigger issue than backsplash that range IMO cannot pass any code and needs to find a new home . IMO stop right now and rearrange the appliances to work the range on the wall beside where the fridge is and vented to the outside . #1 before anythingg else is done For sure no waterfall but I too am confuses as to what the pics show. Please answer these questions here in a comment DO NOT start another post

“YOu have mich bigger issue than backsplash that range IMO cannot pass any code and needs to find a new home”

Manufacturers set clearance requirements and many manufacturers don’t require any side wall clearance for electric ranges (GE for example).

It certainly seems like a bad idea for cooking and it is going to likely cause that wall to look bad, but I don’t think it is a code violation.