Igor, if it were me, I would camp at one of the Horseshoe Meadow / Cottonwood Lakes campsites.
It should'nt be the mad house that the Portal will sure to be that weekend, and you get to sleep at 10,000 ft.
Only bummer is it takes about 1 hr. to drive to the Portal from there. Just get up 1 hr earlier. For a quiet nights sleep at altitude it's worth it.
Also, make sure you're damn awake if you make that drive. It's one road you don't want to drive off.
John