Hi Queensland girl, Queensland boy here : )
In regards to drop shipping into the states, bcurko makes an interesting point, however you would have the same issue with where ever you drop shipped, even into Australia. It's one of the negative aspects of drop shipping, the fact that you really aren't in control of your own business destiny.
You really do need to ensure your supplier is a reliable as possible, so plenty of research is required before choosing, because it's your trading reputation you're putting on the line, and if we're talking about eBay..... then a bad drop ship supplier can take an account down extremely quickly, especially if it's a newish account.
I'm not trying to scare you away from drop shipping, in fact it's a great option for someone with your current circumstances, but just don't concentrate on products alone, choosing the right supplier is just as vital to any success.
If you have any free time on the weekends I would suggest getting out and doing some garage sales in and around the area. eBay is the perfect online market to sell those types of products you can find at garage sales, and even though most items are usually priced to sell quickly, you can do quite well if you know what to buy and can talk a good deal on price : )
It's pretty much how I got started in the business myself, and I would highly recommend it for anyone new to the market. Garage sales or yard sales, are a great supply resource and you don't need a great deal of cash to get you going... apart from that you get out and about and meet some people : )