If you are serious, get in touch with a biologist that can tailor a plan to your property and agricultural production practices. They can help you put the "other" acres (forest, for example) on your farm to work for wildlife with minimal investment on your part. There are even programs available to assist landowners with installing them.
If I could only do 1 practice, it would be burning. Burning in August - March creates excellent strutting areas, and even better brood cover as the burned area greens up. Fescue pastures are pretty sorry brood cover, but the birds use the because little else besides wide open woods with no understory is available. Active timber management (thinning, proper harvest) can also be used to increase nesting and brooding cover while enhancing roosting areas and mast production. Give the birds a good place to conceal their nest besides where you plan to mow.
NWSG forage can be of benefit, but they generally aren't cut much later, just at much higher quality than fescue cut because the fescue is growing seed/stalk vs leaf material. The NWSG will far outproduce fescue during the "summer slump" months as well when properly managed. Some of these grasses will grow 8' tall if left uncut. Another advantage is you don't have to fertilize them like you do fescue, orchardgrass, or bermudagrass. NWSG are very drought resistant as well. There is a trade off- you will have to give up 1-2 years of hay production while the NWSG is putting down a strong root system, but you will have some great brood cover during that time. Check out some of Pat Keyser's work at UT for more info on NWSG.
In a perfect world where you could do without the pasture/hay, I would spray it with round up in November and burn 1/3 - 1/2 each year. NWSG and broadleaf plants will germinate from the seed bank and provide all a turkey needs March - August. You could even use clover in the firebreaks.