Our peer-reviewed Journal of Free Speech Law, which is now five years old, has published over 150 articles, including by Jack Balkin (Yale), Mark Lemley (Stanford), Jane Ginsburg (Columbia), Philip Hamburger (Columbia), Christopher Yoo (Penn), Stuart Benjamin (Duke), Andrew Koppelman (Northwestern), and many others—both prominent figures in the field and emerging young scholars, including ones who didn't have a tenure-track academic appointment. (This list doesn't include our reprinting others' symposia, which have also included many other top scholars, such as Robert Post, Mark Tushnet, Geoffrey Stone, Lee Bollinger, Jeremy Waldron, Danielle Citron, Genevieve Lakier, and more.)
The articles have been cited so far in 11 court cases, over 2000 articles (using Google Scholar counts), and at least 100 briefs. And note that all the articles have only had five years or less to attract these citations.
I expect that many authors are planning to submit articles on free speech to the usual law reviews when the submission cycle restarts in August. But if you submit exclusively to us before that, we will give you an answer within 14 days; and then if you'd like to have it published quickly, we can publish it in within a few months, if it's sufficiently clean and cite-checked by your research assistant. This means your article can be published by us, if it's accepted, almost a year (or more) before it would be published by the law journals.