Brilliant.
My first mileage run was US-Oz, via LHR and SIN. Three nights on planes can make you a little jumpy, but it is the fastest 14000 miles you can do.
Thanks to showers, morning arrivals and C upgrades, you might actually survive.
The trick should be keeping connect time in SIN to a minimum, which leaves out UA (arriving at 2330 or 2345) into SIN.