I have no idea if BBE repairs their pedals, but the best people to ask would be... BBE.

Only they can tell you how much it would cost, which would be the deciding factor of whether to just buy a new one. Also, while i haven't opened up a Sonic Stomp, I have opened up a few other BBE pedals and they were all regular-size through-hole components, very easy for any tech to work on. So if you have a friend who's handy with a soldering iron, they might be able to fix it.