The one big problem with your suggestion, and I know this won't be popular, is that newspaper editors have seen it all and are by nature skeptical souls. Therefore, any "contact" you make with them had better be well prepared, perfectly formatted, and professional as possible.
Wing nut rantings on the back on an envelope won't buy credibility, nor will phone calls demanding they print the other side, a long, rambling email with lots of misspelled words and poor grammar, or any other form of "inferior" communication. These guys see professionally produced "slick" press releases come across their desks by the dozens, daily, and they throw THOSE in the trash.
If the format and appearance of your message doesn't live up to that standard, it doesn't make any difference what your message is. The one exception is a letter to the editor; it can be handwritten but even that is subject to some ground rules for format and content.
The only way for your proposal to be successful, in my professional opinion (and I'm qualified to offer it, trust me), would be for someone to set up a press agency, monitor all the media (with the help of eagle eyed scouts like yourself), and send out press releases in response to these pro-Witness feature stories that appear in the media from time to time. This would be a very large job and would require resources and dedication.
Nice idea, though.