I admit I usually eat meat every day. Grew up that way and love meat. I am trying more veggie dishes, as my childhood was limited to corn, green beans, and peas and those usually out of a can. I try to make broth at least every other week, if not every week. I buy whole chickens from an organic local farm and although pricey, I find I can stretch it out for 2-3 meals and broth (which buying organic broth alone gets quite expensive and is not as healthy). Last year I bought a 1/4 cow (grassfed) from a my organic farm where I also get my milk. Which by the way is the best meat I've ever had. I definetely have qualms about eating any meat out of the stores and only do that if at someone elses house or my budget is blown for the month. The beef lasted my sister 6 months with a family of 5. I still have tons, but its only me and dd and occasionally my younger sister. Upfront the cost is more, but we ended up saving around $400 over buying the crap at the store and considering the peice of mind it gave me all year it was so worth it.
Budget wise I think getting a freezer and buying in bulk makes it affordable. I know some people get buffalo, which you might digest better.