I think you have to try to make the case that you are more efficient and that your knowledge saves the firm because you can prevent some mistakes. You may also have to be willing to accept less pay.
Also, when you do your job search, I’d stay away from anonymous approaches. Network. Only apply for jobs where you have been introduced to the employer by someone the employer knows. It’s probably a waste of time to send out resumes on spec.
Call everyone you know in the field, and ask them for a meeting. At the meeting, you discuss how things are going in the industry (i.e., you describe your skills and ask them about the work they are doing and if they know of any jobs) and then you ask two things. First, you ask them to create a job for you (explaining how you could do a good job), and second, you ask them to give you the names of two other people in the field with whom you can discuss what is going on in the field.
Good luck!