Have you thought about stainless steel backsplash tiles? https://www.houzz.com/products/4x11-honeycomb-matted-metal-peel-and-stick-backsplash-tile-set-of-3-brushed-st-prvw-vr~100903589. These tiles would look great with your stainless steel appliances.

Carrara Marble is a great choice! It is neutral, you can use any color! Take a look at our website to see some options for backsplash! I highly recommend ordering a sample of a tile before you make your final purchase. At RocksinStock.com, it is simple to request a sample. Create your account and start browsing. Seeing the tile in real life will give you a new perspective.

From the glimpse you've given us, you have a really nice kitchen. Your countertop is a "busy" pattern. Really like the painted wall (in lieu of high backsplash) you have with it -- that wall color is as perfect as it gets. Are you changing the countertop; if not, definitely would not add a backsplash. If your fridge is running well, would NOT replace it for a smaller (counter dept) one, the full opening of which could be impeded by the countertops, making it difficult or impossible to remove the veggie drawers for a thorough cleaning as needed. Would NOT b ox in the fridge -- you'd need to lose cabinet space to do that. Instead, invest in a few more magnets and fully embrace having the sides exposed. Dollar Tree sells some wide magnetic clamps that would let you hold a tablet for an ongoing grocery list, etc. Similar to this but black ... and a lot less expensive. The work and last every bit as well. I've had to glue the magnet back in to both the more expensive one and a less expensive one after dropping them. Still work well.

If I understand correctly, the wall cabinets on the sink wall will be replaced. Give that, I would run the tile to the ceiling, like the range wall