Yes, most IBCs now days have some compensation for light or heavy trailers, your trailer weight most definitely would fit in the heavy setting. That should be helpful as it will tailor the output more for your heavy load.
But, I suspect you are still leaving a lot of braking power sitting on the table unused and unavailable until you can get more than 9-10V at the axles with your breakaway pin pulled fixed..
IBCs like most any brake controller can't supply voltages higher than the charging voltage they get from the engine. In fact most modern brake controllers use PWM or Pulse Width Modulation which switches the 12V on off rapidly. The width of the pulse is adjusted and the output average voltage varies with that width. They work like a buck regulator and does not have boost (can't increase output voltage above the input voltage. With a buck system, the max output is always less than the input..
So, it is critical to ensure all wire losses are minimized so all of your braking capacity is available.