The solution is to live in a place of relative ecological abundance where you can buy locally-raised animal products with minimal environmental impact. Hunting your own meat (in my case, deer) is also a good option. I recommend Canada.
Though on the hunting angle, deer would probably be the largest animal you can hunt, then there'd be goats, wild pigs and of course rabbits and possums which you can eat (our possums are different from North American ones).
Edit: also just thought I'd throw in I've got nothing against Canada, you guys and the US, are to us, like we are to Australia (if that makes sense)