One possible way to build out a set of queries that are useful to users would be to use queries that users use on bing and google to end up at our site.
Many users coming to wikipedia don't include the search query in their referrer though, perhaps because they both use <meta name="referrer" content="origin">. It would be interesting to analyze what the difference is between the requests that have a search term in the query and those that do not, to determine if those queries could be used as a representative sample.