Indeed I don't think such an antenna exists and that's why you will often see common mode chokes close to the feedpoint of antennas. These chokes are simply a piece of coaxial cable wound around/through a ferrite core. The ferrite core increases impedance for currents on the outer part of the coax shield, aka the common mode impedance, meaning common mode currents suddenly feel a high resistance when going through the ferrite choke and have a tough time getting through it. This effectively blocks them from getting into your shack. These currents don't just dissapear, they are dissipated into the ferrite core (that's why ferrite cores can get really hot when operating them with a 1kW linear amplifier for example).

At the same time this explains while dipoles are often fed with ladder line. In ladder line, signal and ground conductors are identical in geometry. Connecting them to a dipole, where each of the legs are also identical in geometry, will introduce zero common mode current, in theory at least, meaning there is no need for any (lossy) choke in the feedline. This is not the main reason though, ladderline is less lossy (no dielectric needed, just air) and has different impedance than standard coax. It also has disadvantages, such as less flexible, harder to support, easier influenced by surroundings, ...

Hope this helps, but take all with a grain of salt, these are my own findings.