Welcome! I'm in Newberg, but went to OSU.
Well, if you want a good coast range run, HW 20 to HW 180 (ends up in Siletz) is a good run. There are also several forest service access points along that stretch that open into a rally wonderland. Some of my favorite driving roads up there.
The Mary's Peak hillclimb is also great, particularly in snow. Take HW 34 out of Philomath and turn off at Mary's Peak Rd. It's a very twisty run, with a 3100' climb in 10 miles. Lots of great hiking at the top too, but pack a jacket.
HW 101 at the southern tip of Oregon is pretty amazing too. That's the heart of the Oregon rain forest, so it's like driving through Jurassic Park.
Drive a bit farther south into California, and you're in the redwood forests, which are pretty fun as well.