Kent Connolly is no where to be found even after the quest

As far as I know, the character Kent Connolly gets stuck in the hospital for some reason.

Solving this requires access to the console. You can bring his object reference to yourself:

• Go to Goodneighbor.
• Type prid 000228ac - this is his reference ID and not base ID.
• Do a moveto player.

Now he will move into his room in The Memory Den. You can either talk to him or turn on the Silver Shroud Radio and he will mention armor upgrades waiting for you, since you are the best Shroud. These are level specific.

The Silver Shroud Radio will also seem to inoperative at this point (not a bug since at the end of saving Kent, he specifically mentions not doing the radio ever again). But at each of the upgrade levels for the Silver Shroud Armor (25?/35/45), Kent will go on the air in Goodneighbor and call for the Silver Shroud at which point you can talk to him in the Memory Den for the Armor upgrade.

And never cross my path, I am the Shroud!!!! (phew)