Interspersed adverbs are provided in this article. The words listed here are commonly found along with the verb interspersed in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb INTERSPERSED.
freely, frequently
largely, liberally
occasionally, thickly
Hope this word list had the interspersed adverb you were looking for. In addition to adverbs used with interspersed, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.