Surrounding adverbs are provided in this article. The words listed here are commonly found along with the verb surrounding in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb SURROUNDING.
closely, completely
directly, entirely
immediately, nearly
Hope this word list had the surrounding adverb you were looking for. In addition to adverbs used with surrounding, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.