Looking for a simple availability checker WP plugin

I’m a wedding photographer and the #1 question I get asked is whether I’m available on a certain date. I want to add a very simple way for clients to check my availability.

Ideally, they would be able to type or select their wedding date from a list to find out if it’s available; I would prefer that to displaying a full calendar where they have to search for their date. I would also love it if the calendar would sync to my Google or iCloud calendar so I don’t have to make duplicate calendar entries in Wordpress. I’m aware of the many Wordpress plugins that display a full calendar, and I will use one of those if necessary but I’m hoping there’s a plugin out there that meets my exact need!

Here’s a screenshot from another wedding vendor’s page. This isn’t Wordpress but it’s exactly what I want:

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You can try with this plugin