We build a family of Equations of State (EoS) for QCD, which match the lattice QCD results up to $\mathcal{O}(\mu_B^4)$, and contain a critical point in the 3D Ising model universality class. We place the critical point in the chemical potential range covered by the second Beam Energy Scan (BESII) at the Relativistic Heavy Ion Collider (RHIC). We show the effect of the critical point on several thermodynamic observables and discuss possible constraints on the parameters, which arise from mapping the Ising model phase diagram onto the QCD one.