Hi Ryan,
Check out
http://www.ozcooper.com.au they are a major importer of Jap minis. Apparently there are new Australian restrictions to cars with certain types of air conditioning which prevents any Jap minis of the 1990's being imported.
I have found a few floating around here and there and I have gone to see the one that is $16999 BRG 1.3i on sale on
www.autotrader.com.au in (NSW though) and it is not a bad car, but for $17k I could probably get a better-than-new Cooper S MkI or MkII 1960's!!! (I'd rather that!) and have change left over!
The biggest difference would be the engine, Rover 1990's Minis are multipoint EFI engine with airconditioning. I am sure it is heavier, and runs slower

. Otherwise it should be devoid of rust although I would still check in the usual spots, and the Japs are notorious for revving the S*$T out of their cars so I would be careful (as I would with all Jap imports). I think the Rovers are all dry cone suspension. Also there is a big deal about winding back the clock before importing into the country, this happens alot with Skylines and Supras etc, I am almost 100% sure my friend's Skyline GTSt is wound back. It happens offshore so there is no way of policing it...
To me if a mini aint got an SU or two it aint a real mini hehe
Anyway call around and use the net. Make sure you get what you pay for cause $16000 is alot of money for a mini... Good luck!