Here is what the Bureau of Labor Statistics say about this profession that is expected to increase by 10% between 2006 and 2016:
Most job openings for aircraft mechanics through the year 2016 will stem from the need to replace the many mechanics expected to retire over the next decade. In addition, some mechanics will leave to work in related fields, such as automobile repair, as their skills are largely transferable to other maintenance and repair occupations.
George DeWees, manager of admissions and recruiting for Embry-Riddle's aviation maintenance technology programs said in 2004 in an interview for Avionics Magazine, "The market for A&P (airframe and power plant) technicians is good. But it's even better for those who have taken the step to train in avionics."
Avionics Magazine offers this comprehensive list of approximately 50 programs in the US offering electronics/avionics programs.
List of Aviation Schools