sorry forgot about if the ADC was properly switched off, OK, so he draws nothing for a pin interrupt wake up and act system.
For your application, your device is well within a normal lithium discharge curve, so unless you need the higher voltage for something else, you could use them both in parallel and loose the LDO, leaving a small led buck regulator (possibly buck-boost if you need an odd voltage led)
That should leave you with about 250 days of runtime, (I am assuming IR leds, and system cuts out around 2V)
Looking back at the original math, your 10 months seems wrong for an LDO regulator, as the mAh of series batteries do not add, only there voltage.