Welcome to the community, glad to have you and your '10 SHO (need pictorial proof of life) here!
Pulled codes yet? Advance Auto or Autozone should be able to do that for you if you don't have an OBDII reader.
The IC condensation issue is with trucks (F150), not the SHO. There may/may not be a PCV-related condensation issue, but usually not enough to cause the shudder/hesitation.
Have you owned the SHO since new? Maintenance history? If the plugs are OEM, they are badly overdue for a change. There was a problem with the ceramic breaking off in the earlier versions of the plugs. Check the plugs to make sure they don't smell of fuel or oil. Occasionally, there is a leak in the front bank that causes the plug to misfire.
Check all intake/turbo piping to make sure it has not split and is clamped on securely. If you notice a pool of oil in there anywhere, your PCV system may be getting overwhelmed.
Any smoke on startup/acceleration? Checking for possible leaks at the turbo seals, or the oil line leading to the turbo.
PCM calibration up to date? Best way to check is at a dealer.
There is also an "inherent" hesitation issue with shifting suddenly (non-mechanical), and the best way to take care of that is with a tune.
Here is a list of TSBs for the 2010 MY for your reading pleasure:
http://www.revbase.com/BBBMOTOR/TSb/Results?Year=2010&Make=54&Model=697