He has very clearly shown you that he is upset by something. Currently, his digestive system is working overtime to replace the fluids needed to digest food properly, which adds considerably to him being upset. For perspective, would you want some Godzilla monster picking you up when you've got an upset stomach? Would you rather be left alone at least until you're well enough to keep food down like normal?
I'm mostly concerned as to why the short-term satisfaction you (not him) get from handling is more important than his long-term health. You didn't get a toy - you got a live animal that relies on your for its well-being. Is a few weeks of hands-off time seriously that terrible to recommend?