I can add another suggestion; Santa Cruz Bolivia.

I have been to Las Palomas Lodge (Google Bolivian Adventures) three times. (Argentina twice)

Easy travel via 6.5 hr flight from Miami with no change of planes.

Easy arrival through Bolivian Customs ( guns cleared in 10 min )

Four days of shooting both pigeons and dove.

Lodge facilities, food and service were wonderful.

FWIW I'm going back in April.