Non-typical, the fact that you had a big die-off caused by disease is the surest evidence that you had too many deer. Usually that means too many does. Your neighbors may have done you a favor by thinning them down- too bad they didn't do it before the disease (Nature's way) took hold.
The way to prevent it from happening again is to shoot as many does as bucks. As Richie mentioned, bucks have a higher natural mortality rate, and if you shoot does and bucks equally, you will still have more does than bucks. Personally, I'd rather shoot mature bucks than buttons, but to each his own. I'll shoot a button when my freezer's empty, but not when I have meat- at least, not on purpose.
You can make lemonade from the lemons you've been dealt. With the population down, you have a chance to get a better balance of sexes, and you should see bigger bucks regardless, because they now have more and better food due to less competition for the better food sources. With more bucks, the rut will be more concentrated and the older bucks will be forced to move more to breed. Win-win!
If you did have an EHD outbreak, it will have affected more than just your farm, and a whole region will have fewer deer. From what I've seen of Missouri deer populations, that will be a good thing! You don't want disease to do the culling. A well-placed arrow or bullet is a much nicer way to die.
The area I hunt, between Lamar and Nevada, must have about a 20:1 ratio. It's not unusual to see 20 or more deer in an outing. I expect disease to take hold there at any time. Meanwhile, I'm enjoying good doe venison, and encouraging my hunting partners to shoot those does!