Rufus, I agree it doesn't make a lot of sense how they've written it, and when I originally decided on the part I was assuming I'd be fine with the +/-2mA limit like you said.
I also find it a bit frustrating that all the major semi manufactures discuss this issue in app notes, but give no help as to what actual part could be used for protection (i.e. they just say to use a JFET, despite most of them having ~1nA leakage).
The BAV199 looks like it might be a good choice, the BAS116 looks like the identical single diode version. That's a huge spread from typical to max though.
An Analog Devices app note suggest using a C-B junction of a BJT (2N3094), or the B-E junction if the voltage is low enough (even lower leakage). That leakage isn't spec'ed anywhere either, but I found a passage in Bob Peace's Troubleshooting Analog Circuits where he said that a 2N3904 used in this configuration will have <10pA leakage at room temp. So that would certainly be an easy answer.
I really just need less than about 100-200pA at normal temps, so up to about 50 C.