The weather is good year round in the Caribbean, in general, the DR included. Weather in November-mid-December will be very pleasant, as the "cold" weather of January-March hasn't arrived (temperatures drop to 18C in the evening with noon time highs of 28C). In November-December expect temperatures of 24C in the late evening and early mornings, and about 30C at noon time. The hurricane season ends November 30, but historically most hurricanes will hit in August and September. Don't know of anyone ever hitting in October-November. I'd say November and December are of the best months of the year to visit. Not too hot and not too cold.