Michael, if you will indulge me some corporate thinking for a few moments, I want to snowball on your idea and say "why not do both?"
With Agent Coulson moving over to the small-screen SHIELD series in some capacity, a Daredevil TV series would offer a good chance for synergy for Marvel Studios and Disney.
Let's say that the weekly TV series features Matt Murdock and Foggy Nelson defending clients in the court room (court room procedurals are cheap and relatively easy to shoot) by day, while at night Hornhead fights drug dealers, gang bangers, and gun runners. Maybe the crime in the city is overseen by the Kingpin, or, if you want to go in a different direction, The Owl or The Rose.
Then in one of the movies, have Matt Murdock show up, played by the same actor as the TV series. Whether DD shows up or not would depend on the story. You have a basic synergy between the TV show and the films in that way. It's part of the same universe, just a different media format.
In the same way you can introduce other Marvel characters to the same "cinematic" universe without doing full fledged films. I have long espoused that Power Man & Iron Fist / Heroes For Hire would make a perfect TV series, for example. Why not have Luke and Danny show up in the theoretical DD series? Maybe DD can run afoul of HYDRA on the show, and then Cap fight them in his movie? ("These are the same group who were causing trouble in Hell's Kitchen a few months back.") Maybe Matt gets involved in a case involving a Wakandan national and King T'Challa (or maybe T'Chaka is still king and T'Challa is the prince) gets involved, even if he doesn't appear?
I am just spit-balling here but your statement started the gears turning. Now the important question: Would you have a small screen Daredevil be the grim version or the brash version?