Here in South Carolina, the closest thing to a RUM bar that we've got would be Voodoo Tiki Bar in Charleston, SC. However, more and more RUM bars seem to be popping up around the rest of the country. I thought I would take a second to mention some of the great RUM bars out there.
I have been to Pat Croce's RUM Barrel, in Key West, FL. With Johnny Depp proportedly being a part-owner, this RUM bar is themed completely in Pirate's of the Caribbean. Ask to see the 120+ RUM book to choose your spirit or flight. Lastly, checkout the Pirate Soul Museum next door.
Cuba Libre is about to open their fourth RUM bar, this one in Washington, DC. You can also find them in Philadelphia, Atlantic City, and Orlando. Themed like Old Havana throughout, this RUM bar is a cultural party every day. Be sure to try their own "Cuba Libre" brand RUMs, distilled by Demerara Distillers.
Doc Ford's Rum Bar & Grill on Sanibel Island, FL is another fun RUM bar that I've visited. Owned by author Randy Wayne White, the place is named after MARION "DOC" FORD, who is the hero and main character in several of White's best-selling novels. Huh, it looks like they've also opened a new location on Ft. Myer's Beach, FL too.
RUM Bar in Philadelphia looks to be a great spot to bring out the pirate in you. Their RUM list is extensive (200+) and they run nightly specials.
Other RUM bars I found:
Smuggler's Cove (San Francisco, CA)
Woody's Rum Bar and Island Grill (Baltimore, MD)
Mojitos Restaurant and Rum Bar (Los Angeles, CA)
The Volcano Room & Rum Bar at Bottom Lounge (Chicago, IL)
Rum Bar at Panama Hattie's (North Palm Beach, FL)
Cruzan RUM bar (North Palm Beach, FL)