Hi Eddie,
Don't know about Santo Domingo area, maybe something near Boca Chica.
If you come up north, in the Gaspar Hernandez area you might find something. A few years ago a friend rented a cute little place on the beach. You really have to rough it, no running water, electricity or normal toilet. Basically you're living like the natives, who are very friendly. My only suggestion is to come over and check it out.
PS a cabana here is a place (motel like) where lovers go to.......Good Luck