Oh, sorry. I saw $ and immediately assumed that we're talking about US prices. The R9 380 would be a very solid upgrade for you, it also uses quite a bit less power than the R9 290 if you really are concerned about temps or maybe your PSU. It usually outperforms the 960 or trades blows with it. That said, here is a 280x http://www.newegg.com/global/au/Product/Product.aspx?Item=N82E16814202137&cm_re=R9_280-_-14-202-137-_-Product which usually outperforms both of those cards with an extremely nice cooler on it. It's also a bit cheaper, go for that if you can afford it or an R9 280 if the price needs to be lower.
Dont worry aussie here as well so I feel your price anguish. It sucks arse. Was the 200-250 in USD? Cause that 380 is $300 AUD... Anyways <=$250 AUD wont buy much in terms of a 'new' high performance gpu, around the $270 mark you'd be looking at a gtx960... My advice is to hunt around forums like OCAU (great aussie community), Gumtree or eBay for something like a 280x or the like, even 290's are still going for cheap (on OCAU anyways ~ around $220 or so). Retailers to check out - PCCG, MSY, Mwave, PLE, Centrecom, ShoppingExpress.