I wouldn't mind starting a trekbbs RPG thread and GM it. The character sheets would be easy, set it as who ever wants to joins first post. The minimum daily situation post would move the story, but dice rolling would be difficult.
That would be a hoot!
As for dice rolling, there are some good automatic dice rolling sites available. Some of the D&D PbP (play-by-post) games I've been involved in use them.
It'll be a trust system. No one can prove/disprove who rolled what (not that I don't trust anyone, in fact I'm too trusting at times). I thought about doing a diceless game but it's the dice that moves the story.