contango 

Sure, self-identifying as "homeless and unemployed" will naturally cause people to think you're destitute and penniless and therefore probably freeloading or worse around the world. Still presumably you can say "we live in Australia" even if at that precise moment you don't actually have a specific address to call your own in Australia. And from what you've said in other threads about your career I'd imagine you could use a term like "on sabbatical" rather than "unemployed" - for all some will regard them as synonymous those are probably the ones who would just find some other reason to write you off anyway.