Hi,
There is no such option for "non-module" filters.
Since they display attached to the current menu item, they stay on the same menu item.
If you need them to redirect to another menu item, then I would recommend to deactivate their display in the settings of the menu item and instead create a filter module assigned to your menu item in a position of your module at the top of the main content area. It will display and work the same except that you'll be able to redirect the search to another menu item.