Filters will effect every field in a view. One possible option would be to simply right click on the Row ID and select Hide. This will hide them from the view without filtering them out. The downside of this is that you'll be unable to see which fields have been hidden.
Another possible option, although only 1 row ID could be chosen at once would be to create a parameter with all of the Row IDs and a calculated field. Something similar to the following:
Then, place that on the view and right click on 'false' and select Hide.
Hope that helps a bit!