You can do the hunt for around $3000, though that depends on how much you shoot--and that depends on how much you want to, plus the time of year. I would plan on at least 500 rounds a day, which means around 250 bucks in shells per day.
That price includes very fine accommodations and meals, plus all drinks including beer, wine and mixed. Usually dove hunters fly into Cordoba, and transportation to the lodge may or may not be included.
Round-trip airfare from the U.S. depends on where you're flying out of, but will probably be in the $1500-$2000 range. One of the nicer things about South American hunting is there's no jet-lag, since the time zones don't change much when flying north and south.
