@Ashley Brown
G'day Ashley
To answer this correctly we would need a lot more information including the location (suburb) and some financial information you do not want to post here on BP. If the property is in a good location, and by renting the property you can make it positive cashflow (ie, rent minus all outgoings including mortgage still leaves you with profit left over, then it would certainly be worth looking at keeping and refinancing out as much equity as you can (but stay positively geared).
Whether or not its a new property will also make a difference as you may be able to claim depreciation. Bear in mind also, if you please to offset some of the costs against your income, you will need to check with a good accountant here in Australia, as I believe this offset could only be against Australian income and if you move back to the US, then you will not be able to use any offset benefits of negative gearing.
Even if you head back to the states, over time, particularly in Australia this property (if in a good area) should appreciate considerably and in 10-15 years will be an excellent investment for you and your daughter.
Selling in Australia, particularly soon after purchase is quite expensive with commissions, stamp duties, taxes etc. Unless there is no way to positively gear the property, then selling might be an option if you are moving, as any benefits of negative gearing here in AU (and I believe they are few and far between) would most likely not be applicable to US income if you move
Cheers
Lindsay