hard_yakka, When you upgrade the tires you might want to consider an upgrade for the wheels too in order to be able to fit much wider tires than the stock rims will safely accommodate. It might make some "wheel well surrounding mud deflecting accessory rubber trim" rather handy as extra wide flotation tires will sling stuff outside the wheel wells quite well. Even a heavy dew will wet the tread and you'll sling stuff up into the air and it WILL get on you, the best dressed passenger, or both.
If you are tempted to increase effective circumference/diameter of the tire to increase ride height/ground clearance, remember that you are making your effective gearing taller too and you will lose low end performance and hill climbing ability. The makers of the carts match the available power and torque to the typical load and stock tire heights. Wider won't be a big deal in this respect but taller can be unless the cart has plenty of reserve torque and HP. Straining the equipment to run tall tires will reduce battery life and performance as well as be hard on the motor and other drive components.
Of course if your particular cart has a convenient way to change the effective gear ratio then you can compensate for taller tires and keep your performance as well as get more ground clearance.
Pat