At $500-600 per week, one could put their stuff in storage, skip their lease renewal, and put a couple grand a month of rental expense towards this to reduce the overall cost.

My concern with that approach is that I would need to manage any intermediary periods where there was no trip. Shopping for short term housing is kind of annoying, and can be expensive without proper planning. eg, I wouldn't want to go live in a hotel from December 18th to January 7th, the time between the Bali and Argentina trips. I mean, I guess I could arrange to stay with family elsewhere, or grab an airbnb somewhere, but it'd be cool if that was handled too.

I also wouldn't mind seeing a program that stays within the continental US, with easy access to airports. I'm considering a couple of positions, and the more attractive one will require some occasional travel, which is easier to manage if it's not international.