A lot of the engineers I know or have known, have started out in TV in other positions prior to going into engineering.
I started out in Master Control myself, two other engineers I work with here did the same thing. You start getting to know the engineers and picking their brains. As you get in better with them, then you can inquire about maybe doing work in the department.
Having electronics knowledge is useful, in broadcast TV, although it's not as useful as it used to be. IT, RF, and "transport stream" knowledge go a long way these days in Broadcast TV engineering. Troubleshooting experience definatley helps too. A lot of what is to know in TV, you can find online. There are TONS of educational resources for everything. Also don't snub out small market TV, there are a lot of small market stations, with pretty complex facilities and usually some engineering turnaround.
If you can go for IT training, you might be able to intern in a station's IT department while going to school.
Just a couple of thoughts. You can also post whatever resume or qualifications you have here on our help wanted board.
"To the optimist, the glass is half full. To the pessimist, the glass is half empty. To the engineer, the glass is twice as big as it needs to be."