US Airways has published some business class fares in the ~$2,000 range, which is much lower than usual. US Airways seasonally flies their Airbus A330-200 aircraft between Charlotte and Rio de Janeiro, featuring their Envoy Suite. It’s worth noting, however, that between March 29 and October 26 they fly their 767 on the route, which feature a substantially worse business class product, so you’ll want to avoid it if possible.
I’ll be going to Rio de Janeiro soon on a $400 ticket upgraded to business class so don’t have much of a use for this, but it is a great fare.
It’s especially good given that there’s no minimum stay requirement and that it’s valid year round, so you can travel in peak season.
The best place to look up availability is on ITA Matrix. Enter the origin and destination, your date flexibility, and select business class, and it will return options in a calendar view.
American has published similar fares out of several markets, though unless you can route on their new 777-300ERs I’d say US Airways’ new Envoy Suites are a much better product.
US Airways has published some even better fares between Brazil and New York/Los Angeles.
The fare between Brazil and New York is ~$1,645 on US Airways connecting in Charlotte.
The fare from Rio de Janeiro to Los Angeles is also ~$1,645, which is an even better value given how much more flying it is.
On a mildly unrelated note, am I the only one that finds Rio to be the most frustrating and expensive hotel market in the world? Yes, even much more so than Singapore?