An easier (to do and revert) way to attack the backlight pin may be to disconnect the resistor on the sheild, as that is the current limiter for the LED backlight. If you disconnect the end furthest away from the LCD (next to the solderable jumpers/links), you would be able to connect that to an Oak pin (probably through a mosfet or transistor, as I believe the Oak is limited to 12ma source, 20ma sink per pin, and I'm not sure of the power consumption of the backlight).
But yes, you are correct, there is no backlight support int the Adafruit_ILI9341 library... it is just responsible for the graphics support. Backlight manipulation code/support is up the developer/tinkerer