You can use Search and Filter Pro with Beaver Builders Themer Post Module columns post layout, this guide goes through the tweaks needed and uses a CPT (custom post type) archive page.
Create your Posts Module CPT Archive Page via Themer
Create your Posts Module with the columns layout on a CPT Archive page with Beaver Themer and add in your Search and Filter Pros shortcode. The Posts Module has to use the main query.
Search & Filter Pro Settings
The key setting is to set the Ajax container ‘.fl-module-post-grid‘ and check the Ajax checkboxes as above. This CSS class will change depending on the layout chosen.