I don't know if you can choose a hard 'off' setting, but the BMV-712 draws .7 ah per MONTH. It will have absolutely zero material effect on your batteries. I put my trailer (with t105s also) in storage 9 weeks ago, in a cold winter environment, with the batteries switched completely off via a Blue Seas switch. During that nine weeks I visited twice and turned on the batteries to run the furnace, for a total of probably 90 minutes. When I went by yesterday to check on things, the batteries were sitting at 12.6 volts. With them switched completely off, it is like they are sitting on a shelf and the self discharge rate is very low, with the BMV 712 drawing virtually nothing. Don't worry about it.
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