The only local paper is the El Faro, a weekly with little or no classifieds out of POP. Depending on where you look you can find about 5 Santo Domingo daily papers on the north coast. Hoy and Listin Dario are the best but neither offer much in the way of classifieds unless you're interested in the capital.
The Miami Hearld has an international edition, one of the SD papers print but it's strictly a stripped down US verison.
You've found the best spot for DR news right here.