Visit the Institution in person. There's a saying among employers: "People don't hire resumes; people hire people." Don't underestimate the value of personal relationships. Go to the Institution where you think you might want to work, check for opening in SearchingFaculty.com. If you make an excellent impression on the HR manager with your skill detail, you've done your job: they will have connected you to a resume, and will have a much better idea of your natural intelligence, your persistence, and your likability. People don't always hire the person best suited for the job; people often hire the person they like the best.