>It has a cyclic sleep mode. The mode it enters is similar to the
>one that's called "pin doze" -- it has a higher consumption than
>"pin hibernate", but it's still not more than approx. 40uA (@3V).

OK, that sounds like it should be doing what is required then.

>Consumption is a bit tricky to measure, because a resistor that
>gives you enough voltage drop during the sleep phase probably
>has too much drop when the module is awake.

Hmm, for doing check measurements like this I like to use a device like the 
Keithley 2400 Sourcemeter as a power supply, it can measure down to tiny 
currents, while having a 1A capability if needed. If the current change is 
large enough and the wires fine enough you can even use it with remote 
sensing. 

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