California - UA Inbound to SQ 1--45 minute connection possible?

Like it says above, I've just found myself with a fairly urgent need to get to Singapore. I have a meeting in Chicago at night, and the only flight I could make is the last one of the night to SFO, which gets in at 12:38AM.
SQ 1 leaves at 1:25 AM.

Am I dreaming to think I could make it to the International Terminal and scramble on SQ 1, if nothing is delayed? Obviously I'd never buy this as anything other than a through ticket since I might need rerouting options, but if I'm already checked in, it seems like that could be do-able at that time of night, and it could give me a full 12 hour head start on the business I need to conduct in Singapore compared to having to take an extra night in Chicago and starting the transit in the morning.

Experienced SFO travelers, opinions?

I would be extremely surprised if this is a legal connection.

Assuming you cant leave ORD before about 10pm, the *A electronic timetable (downloadable from www.staralliance.com) offers

ORD-(SK)-CPH-(TG)-BKK-(TG or SQ)-SIN, dep ORD 2205, arr SIN 1110+2

If you can leave after 9pm, then there is also

ORD-(UA)-LHR-(TG)-BKK-(TG or SQ)-SIN, dep ORD 2125, arr SIN 1110+2
ORD-(LH)-FRA-(TG)-BKK-(TG or SQ)-SIN, dep ORD 2145, arr SIN 1110+2

If you can leave around 7pm

ORD-(BD)-MAN-(SQ)-SIN, dep ORD 1855, arr SIN 0605+2

There are a heap of routings available for departures around 6pm.

KiwiFlyer, thanks for the connections.
I'd found the heaps of flights earlier, but hadn't noticed the SK-TG double that leaves late enough.
I'm going to cancel my evening meeting and fly out earlier, I think.

The MCT for SFO domestic-international is actually :50, which means that Expedia would likely sell me that connection (they've been known to sell under MCT itineraries before). And it's only three minutes under. Still, not worth the risk.

Now, the fun of pricing this on short notice :)
<and obviously, that won't take place in the SFO Airports forum ;) >