Access to option page by role/capability

You should be able to do this via the option_page_capability_{$option_page} hook – like:

function wpse151616_grant_access_to_options_page_for editors() {
    return 'edit_posts';
add_filter( 'option_page_capability_rooster', 
            'wpse151616_grant_access_to_options_page_for editors' );

For possible return values take a look at Roles and Capabilities. The variable part – {$option_page} – of the hook name is substituted by the menu slug – $menu_slug – value of your add_options_page() call.