I'm from Singapore so i can give a little advice.
Since you're not going to be needing the local Warranty because you're going to bring it back home anyways, you can actually get cheaper "grey" sets in Singapore.
Shops like DDElectronics sell a little cheaper because they don't have local warranty. You can check their website for pricing.
However, the place you would want to go to when in Singapore is Funan the IT Mall…that's where most big name camera shops are all in 1 building.
The big names are TK Foto, Alan Photo, Cathay Photo etc…
because you're a tourist, you can actually fin the cheapest within Funan..just go around asking all the camera shops and compare prices…and make sure that shop has a GST (govt tax) refund policy so you can actually get you 7% GST refund when you go home at the airport… 7% out of $1000+ is alot of money you can save.