I can't address your Honda specifically, but with my Silverado truck (4x4) once I am hooked up, with the aux brake connected the only thing I do is disconnect the power to the aux brake system in the truck so it doesn't continue to draw on the truck battery overnight. I do start the truck while doing the brake disconnect and walking around the rig just checking things out and looking for any problems so that the battery will recharge a little. The time running is probably 5-10 minutes and doesn't do a lot for the battery, but every little bit helps avoid any suprise dead batteries when we arrive somewhere where we will be using the truck.
