Looking for WP theme or plugin - directory with availability

I want to give each business owner an availability calendar (only days needed – do not need hours-minutes), and then give customers the option to search all businesses that are available on a specific day in a given category.
For example – search all cleaning services that are available on 31.12.2020.

I do not need a booking option where users can book a service, just information on who is available.

Please point me to theme or plugin that can do this or if you can code this on top on some of the themes/plugins this please PM me.