Recommendation for a listing theme with calendar availability

Hi Everyone! I’m in search of a mythical unicorn theme that I can’t seem to find anywhere.

Basically I’m looking for a theme that will allow the end user to search by location, category and (most importantly) date that business are available to offer their services. I can’t seem to find one that allows to search by available date, only location and category.

Ideally I’d like to have everything in the same theme but open to maybe having a plugin as a solution.