My wife and I headed to Argentina for our honeymoon and absolutely loved it! There are supposedly many apartments for rent for part of the year and a ton of expatriates in BA. You could easily head up to Brazil and over to Chile from BA. The architecture in BA and shopping is incredible! Not to mention the food and the warmth of the Argentines....
I am in academia and get sabbaticals, but nothing like this! I assume you work for a private company. Sometimes the pull of the private world is very strong! Enjoy your time!