If you're looking for synonyms for the phrase "more openly," there are several phrases and words you could use depending on your writing style and the context of your piece. For instance, if you want to emphasize complete transparency, the phrase "with complete candor" may suffice. Some other options include "more forthrightly," "in a more unguarded manner," "without reservation," "in a franker manner," or simply "more openly and honestly." Regardless of what phrase you decide to use, choosing the right synonym can make all the difference in how your writing is perceived by the reader.