Let's first acknowledge any of your ideas will be difficult to clean. If you're prepared to address that issue, that's your call.

Here the mortar schmear on the brick.

Here is stone with overfilled mortar lines.

Here is Mortar Shmear over brick. Stone usually looks better when the walls are more expansive. You have lots of upper cabinets that would look better with the scale of brick instead.

Here is stone again with overfilled mortar lines.

If maintenance is a concern you could consider a porcelain tile that is designed to look like wood.

That material is too thick for a backsplash ... unless you had planned ahead and moved your cabinets out, or made them deeper, to accommodate the thickness of the stone.

Are you going to cover every wall in the kitchen?

Sections of stuck on stone will look very fake.

You did not show what you plan to use as your counter material?

I am also going to list my pet peeve. You can't do anything about it now, but someone else just starting out might want to think about it.

Why have tall(er) ceilings and then do standard height windows and doors?

You could have gone with 8 ft doors and windows that were a foot taller, letting in a lot more light.

Maybe you want to consider a porcelain tile. This tile provides a very textured surface instead of brick or stone.

I think it's nearly impossible to make a suggestion based on the cabinets alone. The backsplash needs to also relate to the counters along with the flooring and should be chosen when those other surfaces are in place (along with lighting) by bringing samples in to the actual space.

Since the rustic cabinets have some variability in the dark stain (more drama), I'd look for a single shape Zellige tile with matching grout depending on the counter choice and flooring.

Ideas for brick tile

https://www.fireclaytile.com/brick/colors/detail/joshua-tree

https://www.surfacegroup.com/products/arto-ceramic-glazed-brick-veneer-clear-glaze-2-1_4x7-5_8-flat

https://clayimports.com/products/thin-brick-2-5x8-glazed-distressed-gloss-grain?variant=39593663660164

The stone walls in Beverly's pics look amazing because they are the actual wall, or they cover the surface such that it is plausibly a real wall. Your layout doesn't really permit that. But you can get a lot of beautiful texture using a product suitable for your space!

Thank you for everyone’s responses and help I truly appreciate it. This is the granite and the floors. Yes thought about porcelain, but I’m leaning more towards the brick smear. Love the stone too!! Didn’t think about not a lot of wall space. Kids our out of the house and of course I’d seal it.

Beverly I’m going to check into that porcelain tile that first one is beautiful :)

You can use counter material for the backsplash.

If you decide on this, layout the countertop wall cuts to get the best pattern flow. Don't leave this to the fabricator.