Hey @hackn3y, I have had a similar issue. Are you sure it was the inductor that was heating up and not the Buck Boost chip? Power flows through the buck boost and to the inductor, i am not sure that a short in the buck boost would overheat the inductor but essentially if too much power is going through that inductor it would get very hot and that would be a short on the upside of that inductor allowing power to flow right to ground i would think. Trace the schematic from where the power flows through the inductor to the next components if it is the inductor getting too hot, if the buck boost is shorted under the chip it will also get smoking hot is why I ask if you were sure it is the inductor.
Edit: I was looking at the .brd file for the F3 quad and if the buck boost was shorted somewhere under the chip which can happen if there is too much solder on that ground pad under the chip, power could flow directly through the inductor to ground. My experience in all this has been that even if all the connections of a chip look fine there can still be issues. A lot of the guys have been using the poor man method of building these and the advantage there is that you can place just the MPU, STM and buck boost so that they can be more easily inspected. It could be done with a reflow oven in the same way. If all the chips are placed first they are not only easier to inspect but they are also easier to rework. On that buck boost chip it is important that it only has a tiny amount of solder on that pad under the chip. I have come to the point where once these main chips are in place that I flux the pads and pins of the chips and then drag solder them before even trying to place any of the other components. Whether they look good or not because I have been rounds with these chips and when a card is non functional or acting up it has been almost 90% of the time the MPU or STM/Atmega.