Hi Nuvan,
Beside the saved search drop down we have two buttons( Go & Advanced) as in below screen shot
Go will give you the result directly by hiding the Search Criteria. You will still have Show Search fields which you can click to show the criteria and modify.
Advanced will give you the screen with search criteria, and blank result. This is clicked when you need to modify /add an extra criteria to existing saved criteria and then perform the search by clicking on Search manually.
So you can meet your requirement with Advanced Button.
Regards
Vinod