There is a simple, very effective trick to clear that passageway that has been used for at least 50 years. Remove the passenger's side center head bolt and fabricate (or buy) a dowel rod that's a snug fit into the hole in the head. These tools used to be sold on the Lisle rack along with a bunch of other stovebolt-specific tools, back in the mid-1950's. Fill the hole with motor oil, insert the dowel, and smack it HARD with a 3-lb. hammer. The hydraulic pressure will clear the clog. It's a lot simpler and more effective than fooling around with a piece of wire, which will be completely ineffective no matter how you attempt it.
Jerry