Use Citric-Based Hand Cleaner to Remove Laser Residue from Wood Projects https://blog.adafruit.com/2016/11/23/use-citric-based-hand-cleaner-to-remove-laser-residue-from-wood-projects/
Yep, Gojo hand cleaner is your friend
I use a large soft bristle fingernail brush (Amazon has them) to go fast - the larger surface area vs many small brushes helps make it quick.
So does this not raise the grain of the wood and kill the fine detail? I would have figured any water based product would be a no-no but I’ve been wrong before 
Not usually as long as you don’t let it puddle up and soak in.