I really doubt that SQ will want to get a new livery.
The reason is simple: Singapore is a pretty conservative country. Why would they want to change a livery that has worked for them all these years? You do remember how much money UA spent to implement the "Stealth" scheme used on their current fleet, don't you? After all, AA's current livery has been around since the late 1960's and there's no pressing need to change it yet.
I think SQ--being a Star Alliance member--may paint one of the first A3XX's to be delivered to that airline in the Star Alliance "Logo Jet" scheme. It'll sure stand out in a B-I-G way, that's to be sure.