Two varieties are best. Check with your local Extension Service for varieties that will be best for you. Here we have to fight fireblight and I goofed with my trees have two that are very susceptible.

There are no trees that will 100% perfect and disease free but some are better than others.

I found a link that might give you some good ideas. Good luck.

Here is a link that might be useful: Fruit Trees For Arkansas

The University of Arkansas has an apple breeding program I believe. The link posted above has a phone number. I would be tempted to call or email them for info on newish disease-resistant cultivars and see what they recommend.
The link below is from the Missouri Extension Center.

Here is a link that might be useful: Disease-Resistant Apple Cultivars

Thanks!