I definitely think a meal train is reasonable even once somebody is out of the hospital. In my experience, church groups and groups of friends often arrange to bring meals for a couple of weeks to the mom of a new baby, and that's with normal hospital stays (2 days or so) and starts after they get home. In a few cases, when the woman has a mother or MIL staying to help for the first few weeks, the meals will be started *after* the helper leaves, so sometimes when the baby is a few weeks old. So I don't think it's all that strange.
But I think the eggs will be fine. It's a great idea, especially since your DH says his family likes that sort of thing.