Put yourself in an employers position for a minute. Imagine you got a phone call from someone saying "Hi I work in your industry and I have been looking around and I have decided that I want to work in your company doing x. When can I come in to chat about this in more detail?" You may think this is crazy but as an employer I am impressed, I am curious and if there is a remote chance I could use you, then I will immediately start thinking about how I make a space for you. It will not work on everyone but it will get you where you want to go faster than your traditional approach of applying for vacancies.
Try it and let me know how you get on.