Zoho Support API getsearchrecords equivalent?

Zoho Support API getsearchrecords equivalent?

Hi,
I'm trying to create a report that will show the number of tickets that were unanswered by the end of the same day. E.g. if a ticket came in at 7am, it should be answered by 5pm that same day or otherwise it would show up in the report.

I don't see a way of doing this using the conventional reporting system. The 'between' operator requires me to hardcode dates which means I would have to modify the report each time I wanted to use it.

As an alternative, I thought to create a custom report via the API. However, the API does not seem to have a getsearchrecords method like CRM does. Is there any way to provide parameters to the API?