Well I'm gonna vote for the mosfet. Since you don't need the zener or the gate resistor, it's one part either way, and the mosfet will have a much lower voltage drop, so it won't be dissipating any battery power as heat, and the cutoff voltage for your load won't be reached quite as soon. Of course at your expected current levels, it doesn't really matter, but generally speaking the mosfet is the more elegant solution. Something like an NPD6020P might be a better choice because of its low GS threshold voltage. But in an SOT-23 surface mount package, something like an Si2323 would be fine.
There is also the issue of Schottky reverse leakage current, which I don't really know how to deal with, if that's even necessary.
Anyway, just be sure to orient the mosfet the right way. The drain goes to the battery, and the source to the load. The gate is just tied directly to ground.
You can also do this on the low side with an N-channel mosfet.