I buy organic meats as often as I can. Our local co-op carries a decent selection of locally raised, organic meats that are fairly reasonably priced. It's definitely more expensive than the conventionally raised stuff, but not out of range, and definitely not at the prices you're finding, Latisha. $16 for 3 boneless chicken breasts is too high for me.
One thing I do, particularly with poultry, is buy the "bone-in" selections, like a whole roasting chicken or whole bone-in legs/breasts. The price/lb is much less, and cooking with the bone adds more flavor.
I generally don't buy much red meat. DH is an avid deer hunter, so I usually have a good supply of venison on hand - free range and organic!