I know it's contagious, but it manifests in the cats in different ways. For example, Jake was coughing, etc., but Alley was perfectly fine for quite a while - except for a little sneezing here and there.
The swallowing could be because of a build up of mucus - he's trying to swallow it down just like a human would. Jake didn't sneeze either - the cough was his only symptom.
Is Tommie still eating normally?
It wouldn't hurt to add a little L-Lysine to his food. You can get it in any health food store. Also, you might want to get an xray of his chest to see if there is a build up there.
This sounds like a puzzle - good luck!