If you're looking for cheap meat...taking up hunting initially isn't the way to go. After your investment in weapons, tags, licenses and if you don't want to deal with the public (I don't) a club membership...it gets up there.
Ohio is up to $24 per tag. You can butcher yourself (If you have a hard time putting a dog down you probably won't want to) in addition to the $19.00 hunting license.
After I kill a deer the arrow is usually trashed (There went around $10) and I'm hoping the broadhead isn't toast (yet $10 more)
I just did some "figgerin" the other day going over our maps and transposing it to google earth of all the deer I've killed. (Each and every one within the state of Ohio)
The total was 34.
34 deer times an average $18.00 per tag total = $612
License fees over my lifetime = $217
Figure $1.50 per deer for ammunition (Used Remington Copper Solid 3"MAG rounds the last 5 or so years. Over $2 a pop) = $51
Butchering Fees at $60 per deer = $2040
Gun = Remington 11-87 "Combo" barrel package = $850 at the time
Bow $150 for the crossbow I used when young, $250 for the compound I use now with some accessories.
Forget clothing, accessories, knife taxidermy for 2 large bucks and what not...
850+51+217+621+2040+400 = $4179
Divided by 34 deer = $122.91 per deer
Figure you get what...45lbs of meat per 100lbs of animal. Almost no fat and that comes down to about $2.75 per pound.
Over time you absolutely can't beat it. You'll come out on top with hunting every time...but you get the ultimate bonus. You get to be in the woods!
You'll see things like this:
You will walk right up on a deer and then watch it walk toward you