What Height
I think you will find that the aircraft will do most, if not all that you ask.
I would certainly agree that Snoopy has the edge on mission capability in most areas. However the question may be how mission over capable it may be. Again only time will tell.
As to the pilots. I think you will find that almost all are ex-military and are required do demonstrate considerable flexibility in their current tasks.
Finally, as to landing on carriers that was most definitely the C-130 and NOT the 146. You can buy a commercial video showing two US Marine Corps pilots flying a series of landings and take-offs from a carrier. They did a quick course on the Herc from their normal fast jets and were probably not told of thr ramifications of a "pitch-lock" induced by selecting reverse thrust in the air during landing!