By far, the most advantageous game to play, and win a large number of tickets, would be the Bandit Roundup, the target shooter to the left of Fritsch. Hitting all of the targets, or enough to get at least 6000+ points, will net 500 up to +1000 tickets per game.
Even faster method; build Hoop Shot in the workshop and use the rug glitch to put 3 to 4 Hoop Shot together with the hoops lined up. Make sure you can access each token slot. Grab a basketball by holding interact button, walk up to the hoop, and toggle crouch as fast as you can. You can reach up to a 1,000 tickets per game and with 4 Hoop Shoots is 4,000 tickets in one go.
Several rolls of up to about 1000 tickets may be found in each of the parks, which can contribute to the overall number of tickets.