Hi,
Sorry for the late response, we had a major server database issue, which we had to deal with first.
For this type of setup, you could use the search shortcode on the top section of the page, and the results shortcode on the bottom of the page.
With that, you get the search bar on the top, and the results container on the bottom. If you want to display the search settings by default, you can do that as well.
To show the results on initial page load, you can use the auto-populate feature.