In our 7 years of newer plantings, zone 5 & 6 border, Liberty, Enterprise, Goldrush***, Galarina, Franklin, Sundance, Priscilla, Arkansas Black are all headache free "regular" apples.
***Goldrush is susceptible to CAR if you gave red cedars or any member of the juniper family growing nearby. (see Native Hunter's pic in post #4 above.) We have no red cedars or junipers for miles around our camp - so CAR not a problem.
Many crabs will work and are pretty headache free too. Crabs will also pollinate "regular" apples well. Chestnut crab, Dolgo crab, Winter Wildlife crab, All-Winter-Hangover crab, Centennial crab, Centurion crab, Trailman crab, Wickson crab - all very good with a variety of blossoming and drop times. The first 4 crabs I mentioned are the ones I'd definitely want if I were limited to a few varieties.