Its been awhile since I've done/attempted to do it, but I think you have to actually talk to your Detective Contact in person to Drop Mission...
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Biggest Troll on the forums? I'll give you a hint:
Just click on the Scanner/Newspaper again. It will bring up the "drop screen"
Which is what threw me. Actually, as it turns out, you talk to the radio again.
Don't know why that did not occur to me, but the detective was not helping, so I thought there was some knack to it.
And there you go. 
"How do you know you are on the side of good?" a Paragon citizen asked him. "How can we even know what is 'good'?"
"The Most High has spoken, even with His own blood," Melancton replied. "Surely we know."
OK, so I had it backwards. 
Told you it had been awhile.
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Biggest Troll on the forums? I'll give you a hint:
How does one drop a radio mission? Or is it even possible?
"How do you know you are on the side of good?" a Paragon citizen asked him. "How can we even know what is 'good'?"
"The Most High has spoken, even with His own blood," Melancton replied. "Surely we know."