Plumbing connection for refrigerator with ice maker?

We are in the process of remodeling our kitchen. Due to space requirements we are looking for a counterdepth french door with bottom freezer or a counterdepth side-by-side. Our new refrigerator location will be on the opposite wall from the sink with no nearby plumbing. I'm looking for a frig that does not have a water dispenser as we have a water filtration system with a special faucet on our sink. I would like an ice maker but does that require a plumbing hook up? If so, is it possible to get a counter depth side by side or counterdepth french door refrigerator without either of these options? I can't seem to find any on the internet...I need it in white. Any suggestions?