I was thinking that was the cause for the surging issue,,at least the first place to start to investigate. I'd hook up a digital multimeter across the batteries and watch the voltage while driving it,,,,i'm guessing the voltage is dropping when a load is applied,and those type batteries are not designed for cart use.
Put another way, the cart is "starving " for fuel so to speak,, it gets enough to get moving and then the batteries can't supply enough to maintain a steady supply.
I could be way off on this, but that is what i'm leaning toward as the problem