You know what you could do in an hour, trivially? Find the person who can say "Hire Taylorlb" and invite them to lunch or coffee. Alternatively, find someone who they trust and get a warm intro like "Still looking for a $FOO? You should talk to Taylorlb."
You can try more exotic ways to break into $TARGET but walking through the open front door is a good place to start. Bonus points: many people competing with you are pathologically unable to find the front door because they think it is cheating.