An LM7809 fixed voltage reg would do the job easily, and no adjustment required.
I have a board designed for this exact purpose; shown below:
It includes provision for a 22uH choke so as not to interfere with DCS signals. It also includes bridge rectifier and filter for clean DC power. You can also select full wave or half wave rectification. Power handling is 500 ma.
I can mail you one if you like. Let me know.
Rod