As noted in this article in the News & Observer, the proposal for allowing short-term residential rentals is headed to the Raleigh City Council on June 7.
For more information:
http://www.newsobserver.com/news/local/counties/wake-county/raleigh-report-blog/article75410417.html
https://www.raleighnc.gov/government/content/BoardsCommissions/Articles/CityCouncil.html