If you're going to only feed them for a limited time, I'd feed them from the time they drop their antlers until they shed velvet. I'd also feed something other than just corn.
I run 4 feeders year round on my place. 3 are a roughly 50/50 mix of protein pellets and corn. The other is just corn. Right now, they're empty almost every time I go to fill them twice per week. I've got 3 food plots roughly and acre each and 1 small one too. The woods are full of oaks, blackberry, honeysuckle, etc. I've also got 3 mineral licks. My place is slap full of food and I could do without the feeders, but I enjoy doing the most I can for the deer. The bucks mostly hit the feeders at night, but I do get some daytime pics.
This is my first season where the bucks have had a full antler growing cycle with the protein pellets, so I don't know if it's going to make a difference yet. It's looking promising, but I'm not comfortable saying for sure.