Shipping with Girag
We used Girag to fly our bike from Bogotá to Panama City in May 2009. They asked 800 USD (in cash, no credit cards accepted) for that. They have flights almost every day, so if you deliver your bike in the morning (by 9 AM), you might even be able to pick it up in Panama the same day. Bear in mind, however, that before your bike is put onto the plane, you'll have to go through customs procedures (luckily we were assisted by an employee of Girag) and a thorough search by anti narcotics police. It will all take a couple of hours, so you will not be able to fly away immediately after you've delivered the bike.
Unlike with many South American companies, Girag is easy to deal with - they do answer the phone and e-mail, so you can get more current information.