The datasheets on the galvo scanners are crap since they only tell dimensions. I can't measure current right now since my multimeter has a blown fuse. I will probably setup a DC voltage with a resistor and them calculate the current with my scope if anything. I just don't have the time right now...I doubt that inductance is an issue here. Can't you run a simple experiment with DC to determine how much current is required?
What is the minimum and maximum frequencies involved?