That cooking show sounds like a lot of fun!! But I have to agree that people would think we are completely nuts!!
Eggs are a complete protein
and so is goat milk protein powder
yet they are both low purine foods and also safe for liver compromised dogs much more so than any kind of meat. Most veggies/fruits are also low purine.
I stay away from anything that's too acidic...not just for liver compromised, but for dogs in general. I also stay away from mushrooms. Like Ladymom posted, they're toxic.
Here's a link to the ASPCA about pomegranates:
ASPCA Blog: Ask the APCC: Are Pomegranates Harmful to Dogs?