SMS7621-079 (Skyworks, used to be Alpha) parts run about 0.22 pF at 0 bias, according to my measurements. It's a single in a teeny SC-79 package, but they have this same chip in a dual SOT-23. It's about the lowest capacitance diode you can buy packaged. Skyworks has a dynamite free sample kit too... lots of schottkys and varicaps.
Hey, put two in series and get close to 0.1 pF! It's only rated 2 volts Vr, but is really better... I have actual reverse leakage curves somewhere around here mumble mumble. But a low barrier schottky might be a bit leaky across 390K.
John