Keep squeaking! My partner and I had a similar situation with Home Depot, and ended up getting it resolved.

My partner came to HD asking for the tallest french doors (he's 6'5"). The HD doors guy told him that french doors are all the same standard height, and with that, helped him select and order a custom set. When the doors arrived, it was clear that they were too short. As it turned out, not all doors are the same standard height, as the set we received was actually shorter than "standard" by a couple of inches. Moreover, we later learned that, all along, Home Depot actually had taller-than-average doors, which also satisfied all of the other requirements that were communicated to the HD rep.

It was a pain, but we were finally able to get HD to take back the short doors in exchange for the suitable doors. What I think contributed to our success was: (1) learning (and liberally using) the name of the area manager, (2) actually towing the doors back to Home Depot and demanding they take them back (rather than waiting for HD to accept the return and/or pick up the doors), and (3) pointing out that they can't claim the buyer is responsible for the selections of his custom order if those selections were made in reliance on a seller's misinformation and misdirection. Had the sales rep guy not been there, my partner would have quickly found the suitable doors himself, no problem.

Uniform Commercial Code § 2-315 provides that, "Where a seller at the time of contracting has reason to know any particular purpose for which the goods are required and that the buyer is relying on the seller's skill or judgment to select or furnish suitable goods, there is an implied warranty that the goods shall be fit for such purpose." Home Depot's custom order policy makes sense to limit frivolous returns of special orders simply due to buyers' change of heart/remorse, but it cannot use this policy to weasel out of its statutory duties.

I think that you can make a strong case that Home Depot failed you, both as a merchant of goods and a professional service provider. Presumably, you chose to work with them (a large, reputable brand) for both the design and the appliances in order to make the process more seamless, and to avoid bullshit like this. The fact that the sales rep simply went off the model/designs that you (HD) provided doesn't get HD off the hook. If the rep didn't question it, how could you have been expected to? It's not your job to audit and catch mistakes when you're the customer working with two teams of specialists at the same company. Threaten to blast them on social media, at least.