United currently has fares from Newark (EWR) to Eugene,OR (EUG) for just $391 in First Class.
The flights route through San Francisco (SFO) on United First Class (potentially you can get p.s. Service on the United 757 as well).
You may be able to find more dates and also a one-way. The fare is changing all the time.
I also got the one-way to work. But it goes through Denver mostly.