Unfortunately, while you can sue from over here, that would be an international suit, and even if you win your judgment, you may have to go to the Singapore courts in order to get that judgment enforced so that the hotel pays you.
Also, unfortunately, per the terms of service of this website, legal experts are not allowed to make direct referrals to specific lawyers or law firms. Nor are we allowed to represent customers, because JustAnswer is not a law firm.
What I can do, however, is to direct you to the same services that lawyers themselves use when they need to find a lawyer in a particular field or state and don't know of one.
If you want to sue in Singapore, you could find a lawyer by contactiing the US Embassy or consulate over there, as they keep a list of them for Americans who get in difficulties abroad. By going through the Embassy or consulate you would ensure that you got a reputable attorney.
Another way to find a lawyer in Singapore would be to contact a lawyer referral service. A well-known international referral agency is HG.org. They have listings for lawyers in all Singapore cities.
To find a lawyer who can sue from the States, you could contact a referral service such as www.Martindale.com or www.Avvo.com. Many of their attorneys are peer and client rated, to help you narrow down your options.