+1 Mike: if you operate out of the US, it's pointless to incorporate in Singapore: you'll just have to file tax forms twice (regardless of where you incorporate, you also have to file where you operate).
If you operate out of Singapore, then just incorporate there.
If you operate out of a 3rd country, you likely have to incorporate there.
Until you have income from multiple countries (and large earnings), filing taxes in multiple countries is not a good idea: incorporate where you operate.
As an aside, your investor is correct - Singapore is probably the easiest place in the world to be compliant in. This is not the right way to choose where to incorporate however.