Travelling adverbs are provided in this article. The words listed here are commonly found along with the verb travelling in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb TRAVELLING.
actually, constantly
continually, extensively
merely, nearly
rapidly, slowly
Hope this word list had the travelling adverb you were looking for. In addition to adverbs used with travelling, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.