Even pastured pork will likely include some degree of grain supplementation (hopefully organic), as most farms don't have enough other food scraps for the pigs to eat. Some farmers will take cobs of corn and kick it into the ground for the pigs to root out, thus allowing the pigs to till the soil and dig other goodies from the field to eat.
I see your store occasionally gets lamb. If you're not a fan, I encourage you to try it again. I never was until a few years ago and now it's one of my favorite meats.
Also, see if the store carries lard and beef tallow, both excellent cooking fats.