Hey, I have a decent idea for a couple simple investigations that can be turned into an effective test.
First, crowd-fund a leading FE-er to take the chartered flight to the south pole, where they get to spend 5-6 days there trying around, and would have free time to conduct some basic studies (magnetic inclination and declination mapping as an example)
Second option: convince one of the many agencies operating in antarctica, that they should install a camera and livestream the ascent from any one of the dozens of weather balloon launches. This would (depending on cloud cover) effectively show the shape of the Antarctic continent, one way or the other.
Chartered trips to the south pole are just over 50k USD. I'm not sure what the costs of adding a video stream to a weather balloon launch would be.