A simpler solution would be to add a trik-l-start or similar battery maintainer on the chassis battery. That would compensate for the the occasional use of the step and the usual draw (radio memory etc) on the chassis battery. Ours is permanently wired in and plugged in to a MH 120v circuit, keeping the battery charged when camping as well.
This cured our problem of a dead chassis battery after two weeks similar parked/stored usage like yours. Our c-class is plugged in 24/7 when it stored a home.
Beverley and Ken
edit to correct grammer/spelling
2006 Winnebago Outlook 29B E-450.
2012 Honda CR-V AWD
Blue Ox Aventa LX tow bar and Brake Buddy Vantage.