In this scenario you need a game that wont break down (lots of play going to happen), one with a recognizable theme (assuming you need to draw people in from other fun stuff in the park?), and one with short ball times (both to bring in more money and because people have other things to do).
My guess is SW (not sure how reliable the LE is but the pro has so little on it that ball times are quick and nothing to break).
After that would be IM and maybe GOTG. Both short ball times for casuals (GOTG can be excessively long for players).
Long term DIle will win out for sure. People love the game, lots to explore and it is steadily played. If your patronage has a bit more time to play then this will be the one the explore more and play more.