The best way to avoid getting singled out is to look like any other tourist with tourist clothes and a lot of luggage.
I made the mistake to mix tourist clothing with only a bag for my macbook for a short trip to Singapore while staying in Australia with a 3 month tourist/business visa.
Entering Australia with a tourist/business visa and without luggage looks suspicious. If you take a short trip to Singapore make sure you wear a business suit, or take a lot of luggage with you to look like a pissed of tourist. But nothing in between ;)