I think that Jon from Maplewood's idea is pretty good. But there doesn't need to be a whole second podcast per week.
A lot of the clips that are already on friendsoftom.com and other places... Martin would be helpful... could be put out as a podcast. They could be kept around, so that new people can download the archives (the way you can with Jesse Thorn's podcasts), instead of expiring in a few weeks the way the current podcast's archives do.
This intro, baby steps podcast, in addition to having the funny phone calls, could also have Tom rants, interviews, GOMPs, etc-- the whole flavor of the show. A couple of clips would be added to it per week, but the purpose would not be to be a normal podcast, but just to get people hooked, like special powder on funnel cake. Also, this is something that the FOTs could put together, although I don't know what bandwidth might cost.
I think it would be a pretty good way to increase people's awareness of the Best Show and move it a few steps closer to its inevitable ascendence to the top of the mountain (in popularity... in quality it got there long ago). As it stands the Best show is sort of like the Ulysses of radio comedy, and a lot of people are scared off by the depth of the thing, or they listen to a random episode, don't get it, and move on, not really understanding what it's supposed to be. (I'm not sure I would have been able to get into the show before the advent of the People's Theme, which at least gave me an idea that the show was really deep, had a weird community and a lot of stuff it would take me a while to get my head around. Luckily I was exposed to the show at a time in my life when I was willing to do just that.)