Do you have the ability to leave one day earlier, ie: January 11? If so, you could do a PDX-SFO-NRT-SIN nested with a SIN-NRT-HNL departing on the 13th.

I realize that this gives you only 6 hours to do the turn around and if something in scheduling fouls up, you probably will not get to HNL until the 14th. Pricing should be close to your budget and will earn an awesome amount of miles.

Be aware that you have the same problem on the return in respect to losing 2 days for travel because of the dateline.

So, the advice price the PDX-SIN RT and the SIN-HNL RT and decide.