The problem with the wings is they generate lift during launch and that will screw up the rocket, thus the fairing. I thought there was no known solution for that.
It seems like you could mitigate that by designing the wing such that when mounted the angle of attack is 0 and thus no lift is generated. Obviously the wing would still have an effect when the booster changes orientation or in cases of high winds. I'm not remotely qualified to calculate the scale of those forces but I don't see why any of that would be a guaranteed showstopper given a booster with enough thrust vectoring capability.
