Second search bar to search only a handfull of pages

I have done a lot of research across the web and still haven’t found exactly what I am looking for. Relevanssi has been the closest thing I have found, but not sure how to apply it to just those few pages and let the WP search still perform as well. Seems like there should be a plugin/widget that allows you to put in the page IDs/url’s that you would ONLY like to search, rather than excluding the rest of the pages from the search. Google has a custom search that works well, but you have to pay monthly for the removal of their logo. You type in the urls you would like to search on your site and it comes up with the search only from those pages. If anyone has a suggestion it would greatly be appreciated.