FYI, Boeshield is NOT a lubricant, it is a corrosion inhibitor. I routinely use it on my machinery. But it is no more a lubricant then WD-40 is (which stands for Water Displacement formula 40).
The White-Lightening chain grease appears to me to be a possibility. It's a similar environment to the the gearing on a stabilizer.
Personally I use spray teflon lub.
2008 F350SD V10 with an 2012 Arctic Fox 29-5E
When someone tells you to buy the same rig they own, listen, they might be right. When they tell you to buy a different rig then they own, really pay attention, they probably know something you don't.