The only downside of placing anything on the surface of the table, is, that it will negatively impact the smooth surface. Is the top of your table coated? Some of them have like a plastic laminate surface. If there is any imperfections on the top like a sticker or something it will have an effect on the game play.
If I were you, I'd leave the surface alone and maybe decorate the exterior in Wild green, red and gold. Or, have the Wild logo on the plastic puck. Does your table have the overhead scoreboard? Some nicer tables are lit up from the top, I'd have green lights in there
But I'd stay away from adding anything to the surface of the table. In CAN, we have a games store called Dufferin games. They supply pool talbes, air hocky, jitz...you name it. See if there is a similar kinda games store and ask about refinishing the table and see whats involved. Personally I have never seen this done before.
It'd be neat tho.
Maybe the team will give you your own space at Xcel Center for Wild Table Hockey tournaments