That stuff is UHMWPE/HDPE. any graphic that has any chance to stick to it in the first place, will change the surface texture from "ice" to eventual shredded plastic & goopy adhesive
you would need to put it under the top layer, like in real ice rinks.... they don't just slap stickers on the ice and play hockey, they paint the floor and freeze ice over the top of the graphic.
also, the white panels might be too opaque to see a 2nd surface application BUT any plastic that comes in white, usually comes in a .....clear? if so, you could suggest laying clear synthetic ice over the top of whatever you want and fill the rest with a white background.