We put a loaderbucket full of gravel down on the ground of the squeeze, the more coarser gravel (there's a name with it...pit-something, can't think of it right now) and tamp it down. A bucket below the floor, then one on top of the floor. But that's since the squeeze's outside. still, it works good.
Glover, if you're headgate is indoors, thick rubber matting might work, the corregated/grippy stuff.