Well, I am a little tired of the western mentality and attitudes. When I was an exchange student in the USA, I met some girls who where born and raised in Asia (China, Japan, India, etc) and they all had much, much better personalities than girls growing up in the USA and in Scandinavia (I'm from Denmark). Finding a single Asian girl who grew up in Asia isn't very easy in Denmark. Somebody pointed out that the divorce rates are high so if I would manage to find an Asian girl here in Denmark and we would divorce, then I would probably be single for many years before I find a new girl. If I live in Asia, finding a new Asian girl raised in Asia shouldn't be that hard. Also, I would like to explore Asia and living in Singapore I would live close to most other Asian coutries. A third reason is the climate, we have very depressing weather up here in Scandinavia. Why do you ask? Do you not recommend me moving there? If so, why not?
I think for a start, even though girls from China, Japan, India, Korea, HK, SG are generally known as Asians, they are vastly different because of the cultural and family background. Even a Brit and American are different, despite their first language are both English!
So to answer your question, yes it will be fairly easy to find a single Asian girl in Singapore. But, hopefully, finding a partner is not the key reason for you to move to SG.
I work in a Nordic bank, so personally, I feel that Scandis are very friendly and easy-going. In that aspect, I don't think you will have problems finding friends in Singapore, or in most Asia countries.
Other stuff to consider: I don't think there is a big population of Scandis in Sg (compared to US/UK, Germany, etc) and I have a feeling that most Scandis in Sg are married (with kids). Most of my colleagues rarely go out for that occasional beer or rarely socialize after work. They are very family oriented (which probably explain why you are seeking to settle down soon as well). So if you prefer to "hang out" with Scandis, it might be harder.
On the other hand, there are a lot of expats singles in Singapore, which will be a good cultural exchange, as long as you are opened to it. I know expats who only stick/hang out with their "countryman" and intentionally avoid conversation from anyone who is not from their own country. Then again, to each its own.
I would suggest (IMHO) that your decision should be focus more on other things like your ability to get used to the weather here (its not as depressing, but its bloody hot!!! There are no 4 seasons here, only hot, and rainy seasons!)? Whether it is a wise career move to come to SG? Are you open to trying different food/culture? Do you enjoy traveling (since traveling out of SG is really cheap and convenient)? How comfortable are you in starting afresh in a new country (ranging from sorting out accomodation to making new friends)?
The "felling-in-love" and "setting down" portion, personally, will happen regardless where you are in, if its the right one. If its the wrong one, its as bad as buying a bride online! Which, you can happen regardless where you are!