Fly over the South Pole during the summer months. Qantas has been flying over the Pole since 1994. Their scenic flights leave Sydney and Melbourne from December until February. The 12-hour flights feature films about Antarctica, talks by Antarctic experts and an information kit. Four hours are spent getting to Antarctica, four hours are spent looking over some of the most amazing scenery on Earth, and the remaining four hours are spent flying back to Australia.
See if any of the members of the International Association of Antarctica Tour Operators (IAATO) are planning an Polar expedition. There are over 80 companies listed on the member page, along with links to their homepages. Visit their websites for the most current information.
Contact Voyage Concepts of the UK. They've previously organized ski trips to the South Pole, among other expeditions in Antarctica. Who knows what they'll plan next? It might be something you'd find extremely appealing.
Get a job working in the Amundsen-Scott Station, right next to the South Pole. Punch "working Antarctica" into a search engine, and you will find current places to submit a resume.
Scrape up every penny you can, and design your own expedition. Adventure Network International will provide the personnel and logistics to make it happen. You provide the cash and the dream. This is by far the most expensive option, but it would truly be the trip of a lifetime.