I planned on using the same style Ctek battery maintainer for my Kubota F2690 that I use with my 2016 Corvette Z06, Ctek is the OEM for the GM branded version.
The Corvette does use the rear mounted cigarette lighter port but I planned to install the Ctek connector cord set that attaches permanently to the battery posts for the Kubota. I was pleasantly surprised when my new F2690 was delivered last December with that Ctek plug already installed, it seems my Kubota dealer likes them also.
IF the cigarette lighter receptacle in your 3560 is always connected (and doesn't depend upon the key being turned to a position other than off) then the cigarette plug will work. Otherwise the Ctek battery connector is included as one of the set of cords/adapters with most of their units and makes for a neat install.
The connector between the Ctek maintainer and the various cord sets it uses is the same for all of their units so you could easily transfer one maintainer between different vehicles while leaving the vehicle specific adapter in place. I have one Ctek permanently installed for my 40KW diesel standby generator, a second one is dedicated to the Corvette, and a third unit is used for various vehicles including the Kubota as needed.
Rodger
