Hello again and thank you for the reply!
Anytime a battery goes "dead", or at least low enough of charge to not start the vehicle, that particular batteries life expectancy is nearly cut in half, that could explain why the batteries only last one year.
And yes, we do have a parasitic draw happening. Where I would like to start is back with the hands-free link module, or more commonly known as the bluetooth module. As you probably already know this is the most common cause of a key off draw. When you state you disconnected it, I assume you refer to the module located in the overhead section above the mirror. Under that cover there should be 2 modules connected to that piece that have a multi-pin connections on them. Did you disconnect both modules? If not, which one did you disconnect? I have seen many instances of ID concern with the actual bluetooth module.
I have attached a Honda TSB file that address the known concern with the HFL module, please confirm the correct module was unplugged.
If the above is not the case, the next step will be to diagnose a key-off draw. This involves the use of a multimeter that has the ability to run at least 10-15 amps thru it and LOTS of patience. In this sensitive case, an AMP clamp will not work, we are talking about a draw that will be in the mA (milliAmp) scale. Basically we will be removing fuses for components all over the vehicle until the abnormal draw (if it registers, sometimes power draws can be intermittent) too) disappears.
Please let me know if you have any questions for me prior to proceeding. Since there is specific testing involved I'd like to know you're comfortable with the above steps and using the tools necessary for accurate diagnosis. If so I will lay out the procedures and you can report back your findings. Thanks again!