Lots of small hotels in the DR.
In Punta Cana, Los Corales, Tel. 2210801.
In La Romana, Reina Cumayasa, Tel. 809 550-7506
In Juan Dolio, Colonia Tropical Tel. 809 526-1660
In Boca Chica, Hotel Zapata, Tel. 809 523-4777
In Samana, Villa Serena, Tel. 809 538-2545
North Coast, La Catalina, Tel. 809 589-7700
Santo Domingo, Hotel Frances. Tel. 809 685-9331
Note that small hotel is not necessarily equivalent to low cost vacation.