What exactly is the question here?
Do you want to adjust the snippets from the Archivist extra, so that they filter the data by a TV value?
Or do you want to create some custom code (maybe using pdoResources) that filters the resources by date (like in this older thread of yours)?
What do mean by “search form”? Should the data additionally also be filtered by a search term? What fields should be searched?
Maybe this thread is helpful: