This won't work unless it's totally bartered. Nobody will pay cash. You can't depend on the ability of affiliates to reliably sell sponsorships to pay you for your program.
You also must consider the fact that features of this type are not very compatible with syndicated commercial news/talk formats and are anathema to conventional music formats. The most receptive market for this type of thing would be non-commercial operations, and they will have a problem with commercial content unless you can structure it according to their specific requirements.
That being said, I run a small commercial station that airs several such programs on a daily basis. In our case, the best example of what you're talking about is a 2 minute feature called "Something You Should Know". The content is always interesting and the presentation is very consistent, with 30 seconds of commercial and 90 seconds of content. We air it three times per weekday.
It's created by a hard working and tireless guy. He did everything himself for a while, but eventually had to get involved with a syndicator because the logistics of production, website, marketing, sales and distribution were too much for one person.
Aside from formatic issues, the biggest concern for affiliates is processing time. Nowadays most syndicated programs are downloaded as MP3 files, and for this particular program I figure it takes us 30 to 40 minutes per week to download, organize, label, document, schedule and fill out performance affidavits after airing.
Stations are very short-staffed these days, especially the small to medium market operations that would likely be your affiliates. Make sure your program is worth their time. They have more than enough to do already.
I would suggest that your programs might be especially appealing to station management if they could help satisfy the FCC-mandated public-affairs programming requirements that all broadcasters must fulfill. If you can make this type of material both informative and entertaining, then I think you could find a market for your work.