Stepping adverbs are provided in this article. The words listed here are commonly found along with the verb stepping in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb STEPPING.
accidentally, actually, boldly, briskly
carefully, cautiously, daintily, delicately
finally, gingerly, hastily, heavily
lightly, merely, quickly, quietly
simply, slowly, softly, suddenly
Hope this word list had the stepping adverb you were looking for. In addition to adverbs used with stepping, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.