Blinking adverbs are provided in this article. The words listed here are commonly found along with the verb blinking in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb BLINKING.
barely, furiously
rapidly, sleepily
slowly, stupidly
Hope this word list had the blinking adverb you were looking for. In addition to adverbs used with blinking, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.