I have been twice, once to Patagonia for free range red stag and once to La Pampa. The hunt with Algar in Patagonia was a horse back hunt and was one of the best hunts my wife and I have done.
Don't forget to schedule a few extra days in Buenos Aires for sightseeing and a tango show.

I am continually astounded at how quickly people make up their minds on little evidence or none at all.
Jack O'Connor