One problem: the 1 doesn't go into Oregon. The 101 does. (Looks at map) You could take 299 west out of Redding to Eureka, then north on the 101 to Crescent City (the famous Redwood Hwy), and then take the 199 to Grants Pass. It would be freakin insane in the snow and would add many, many hours to the drive.
My GF and I were supposed to drive down to Sacramento to visit her family for Christmas this year. If we had gone, we'd be driving back around now. I'm really glad we decided not to go 2 weeks ago.