Searh the internet for "implement and tractor" or I&T manuals. I like the ones I have for my larger tractors.
No mention of electrical system.
I searched some I&T sites and didn;t see anything LS specific.
I wonder if one of the rebadged machines manuals would be close enought o be applicable? Anybody ever looked up close at those machines and compared to their own?
I also wonder if the dealer shop manuals are so vague man I would hope not, that would be scarry!
My service manual details engine teardown, transmission, hydraulics, power steering, starter and alternator. Not very descriptive. No mention of electrical system.

