As I am currently serving as a Congregational Care pastor at Resurrection, I was particularly interested to hear how LifeChurch.tv does care on their Internet Campus.
There is a team of volunteers that serves to pray with people live before, during and after the worship experience. This seems to be a key area in which care is provided for the people of the internet campus. Life groups (small groups) are encouraged to be able to respond to life events. The life groups that meet physically may be able to provide this support more tangibly than those that meet online.
Brandon Donaldson, Internet Campus Pastor, does have counseling sessions with members of the internet campus – primarily via phone, although Skype has also been used for this purpose.