There would be a lot of moving parts here and I cannot go into all of them in detail here. ACF would only be part of the solution. First I would probably create a Custom Post Type (CPT) to hold the specials. I would use ACF fields to allow entering information on the specials. There are several ways that these could be shown. I would then use the archive page template for the CPT to show the upcoming specials. This is just a broad overview, like I said, there would be a lot of details that would depend on what is actually needed, most of which is not ACF specific.
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