Search adverbs are provided in this article. The words listed here are commonly found along with the verb search in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb SEARCH.
actively, actually, automatically
carefully, constantly, continually
deeply, desperately, diligently
easily, effectively, frantically
naturally, quickly, really
simply, thoroughly
Hope this word list had the search adverb you were looking for. In addition to adverbs used with search, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.