Air station can move relative with constant range/bearing with CVN - its good for Helo ASW. Aircraft on "airstation" will will be changed for another one after
low fuel but i still prefer to use triggers and scripts - it gives better control over CVN and aircrafts.
In DW aircrafts works bad. RA improves this aspect of game (a little) but they still can crash into water after time or do something stupid.
Try to make simple scenario for test - you will see what im talking about
Personally I wouludn't make this "screen/escort" mission with CVN because it involves big support and big troubles in controling this huge TF. You should consider to make LSD/LST/LPD group as highly value ships (I recommend ships without helos or with option empty hangars)
Aircraft may come from land bases - its easier.