Re: What are my odds?
There are many jobs that are very well paid and where experience is sought after in the rest of the world that just don't exist in Antarctica, I'm afraid your consulting and finance experience fit into that category.
Antarctica is about science and so the people who work there are either scientists or practical support for the scientists.
On the positive side, your wider experiences and handling difficult situations, with presumeably the need to be adaptable and make things work with whatever is available even if it is far short of ideal will be far more to your advantage. The challenges of Antarctica are very different however.
Flexibility is the key in your position, the willingness to consider any position as available. Do make as many contacts as you can (without being a pest!) and do keep trying, tenacity does work in the end.
Good luck and please come back and tell us how you got on at the fair.