Another good tip in addition to those above is to stock up when you see sales (assuming you have the freezer space for it). Whole Foods, for instance, has weekly sales on meats and rotates the offerings on sale, so it may make sense to load up when you see something you know you would use. For instance, bone-in pork shoulder is normally $3.99 per pound, which is quite a bit more expensive than the $1.00-$2.00/lb you are likely to find elsewhere. But it periodically goes on sale for $2.49/lb. When they do that, I often buy a couple of shoulders (ask for them to get a whole piece from the back if you want something more than 3-4 pounds, which tends to be the range they put in the display) to freeze, even if I have no intention of smoking one or otherwise using it that week. Still more expensive than purchases of factory farmed meat, but getting more in the ballpark. Whole Foods also has 3-day weekend sales, where some things will be deeply discounted (e.g., $7.99/lb for ribeye steaks as opposed to $14+/lb), and I tend to stock up then too. Same with the pre-packaged "family packs" Whole Foods periodically offers where you buy in quantity (say 4+ pounds of chicken breasts or thighs), but the per pound price is $1-2/lb cheaper than if you got a smaller quantity or if you got it at the butcher counter. I also do sale shopping stock-ups at the farmers' markets, as certain vendors (Dietzler, for example) will periodically have one or two items available at special prices or on bulk purchase discounts.
The one other tip I have (in addition to the recommendation to just eat less meat, which justjoan suggested), which is related to the above in terms of shopping sales, is that you will save money if you are more flexible on what you want to eat in any given week. My wife typically sketches out three or four complete dinners for the forthcoming week with corresponding shopping list, but leaves some flexibility to buy what is on sale or otherwise represents a better value, and then mix-and-match on the various meal components. If you go into a grocery shopping trip knowing you have to have cut of meat X, you may end up paying whatever price it is, regardless of whether there are lower cost alternatives if you just rethink your meal. When we are in CSA seasons (we usually do spring, summer and fall), we actually tend to think more in times of side dishes (from the CSA box) or dishes incorporating CSA produce that could be made with a variety of meat types, and then just go to the store with a list to get one dinner's worth of fish, one of pork, and/or one of beef or something like that. In short, menu/cooking flexibility can help save some money as well.