Hi,
If you turn on the "redirect POST mode" setting of the HikaShop configuration, when you use a filter, you can see the extra parameters on the address bar of your browser when you use filters.
So once you have the URL you want to access the products listing like you want, remove the display of the filters from the menu item and you have your products listing filtered like you want.
However, it can't be done on modules as modules are not affected by filters. It has to be done for a menu item.
Or you setting some kind of ajax module to load the content of the filtered URL in the module.