Well, seeing how old this thread is, my reply may be unnecessary. But anyhow, I’m trying to get started on the same task, and have found a good method to raise peckish.
If you are currently embroiled in the war of illusion and can perform Saturday night’s magic show, then try the option to sabotage Peppercorn. It does require that you already have Peckish quality, and the action is a Peckish challenge. So far I keep failing it, but it increases my Peckish every time I fail. So assuming Peckish increase is not capped here, I’ll eventually succeed. I hope that starts me on the name seeking.