Pulled the EGR valve and plate off. The valve looked alright, but I cleaned it and then soaked it for about 5 hours in some WD-40. The plate, on the other hand...
Before:
After:
Everything back together:
It was surprisingly easy to to get to all of this stuff. The EGR valve sits in front of the motor and just requires you take off the plastic shield. Two easy-to-get-to bolts hold it on. The intake manifold is held on by three bolts and two knuts, which required whatever you call those ratchet extensions that allow you to go around corners. Cleaning the plate aside, I could've done the whole thing in half an hour.