We report a transport model study of the rapidity even component of dipolar flow, $v_1^{even}$, for identified charged hadrons at mid-rapidity in Au+Au collisions at $\sqrt{s_{NN}}=7.7-200$ GeV. The analysis is performed using the AMPT model. In addition, HIJING model is used to quantify residual non-flow contributions in $v_1^{even}$. The $v_1^{even}$ of identified hadrons ($\pi$, $K$, and $p$) shows no significant difference between particles and anti-particles at $\sqrt{s_{NN}}=200$ GeV. However, a clear splitting between proton and anti-proton $v_1^{even}$ develops with decreasing beam energy, while no corresponding difference is observed for mesons (${\pi }^{\pm }$ and $K^{\pm }$). These results indicate that the proton-antiproton difference in $v_1^{even}$ is sensitive to baryon transport and antibaryon annihilation in the hadronic medium. Our study highlights the potential of identified-particle $v_1^{even}$ measurements at RHIC Beam Energy Scan energies as a novel probe of baryon stopping and the evolution of the hadronic medium.