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