In addition to what Bismic suggested I would take YOUR suggestion and clean the turbo according to the procedure in the 6.0 tech folder. Also, check all the intercooler hoses and the flex sections of the y-pipe from the exhaust manifolds to the turbo for leaks/cracks while you have the turbo out for cleaning.
Black smoke is caused from the engine being over fueled. In your case over fueled at the wrong timing, thus the low power. It sounds like turbo symptoms, but the black smoke is not usually a turbo symptom. Unless it is a little more bluish?
The air sound you hear is the turbocharger sticking causing it to surge back through the intake. If that is indeed the noise you have.
Another thing could be an FICM not fueling the engine correctly (poor metering and timing, black smoke/low power)
I have also seen a bad ECM cause a low power concern while under heavy acceleration. Weird thing is that I swapped an ECM from another truck and it fixed it and the the "bad ecm" worked in the donor truck. Switched them back and same low power. I just swapped them and let it go. Most confusing thing I ever encountered.