that i should get one and put the tickets on it and clear coat over it so itll fit in with the game room!
Those tickets will be wood pulp pretty damn quick, regardless of what type of stool you use (soft or hard surface). I guess you could put like 80 coats of clearcoat on top, but I wonder how well people would be able to sit on the things without sliding off. I would go with your origonal idea, maybe even have them on a plaque on the machine with something saying they were found in the machine when you rescued it.
Also, if you have a roll of tickets, you could make a toilet paper roll dispenser sized for the tickets and place them next to the real toilet paper roll as a joke (esp if you have a bathroom dedicated to your game room)
Edit: the above poster gave me another idea: Laminate them and afix them in such a way it looks like there are always two tickets coming out of the ticket dispenser on the skeeballmachine. This assumes that you wont actually be using the ticket dispenser, and as such may make it look "more authentic"