As facets are treated like page items, there is a very simple and straightforward way to add that on your own, as custom functionality. Add a table to your schema to hold the facets and their values, e.g.

table my_stored_facets(
    stored_view_name    varchar2(255),
    facet_name          varchar2(255),
    username            varchar2(255),
    facet_value         varchar2(4000) );

Then, simply have a page process firing on submit, which stores the current facet values into the table.

begin
    insert into  my_stored_facets( 'View 1', 'PX_DEPTNO', :APP_USER, v( 'PX_DEPTNO' );
    insert into  my_stored_facets( 'View 1', 'PX_SAL',    :APP_USER, v( 'PX_SAL' );
    :
end;

Then, to load facet values from the table, you'd go the other way around:

for i in (
    select facet_name,
           facet_value
      from my_stored_facets
     where stored_view_name = 'View 1'
       and username         = :APP_USER
) loop
    apex_util.set_session_state(
        p_name   => i.facet_name,
        p_value  => i.facet_value,
        p_commit => false );
end loop;
commit;

which gives you all the building blocks. The rest is up to you and your preferences of UI design; you can …

• allow one or multiple stored configuration
• apply this to Faceted Search as well as Smart Filters
• build UI as you wish, e.g. a modal page, or an inline region.
• hook up authorization schemes to limit such functionality …