The intermediate coupling regime in polaronic systems, situated between the adiabatic and the anti-adiabatic limit, is characterized by resonant pairing between quasi-free electrons which is induced by an exchange interaction with localized bipolarons. The onset of this resonant pairing takes place below a characteristic temperature T * and is manifest in the opening of a pseudogap in the density of states of the electrons. The variation of T * is examined here as a function of (i) the typical frequency ω0 of the local lattice modes, which determines the binding energy of the bipolarons, and (ii) the total concentration of charge carriers ntot = nF + nB, where nF and nB are the densities of free electrons and bipolarons, respectively. The variation of either of these quantities induces similar changes of the value of nB with respect to that of nF , in this way leading to a shift of T * . For finite, but small values of nB (≤ 0.1 per site), we find negative and practically doping independent values of the corresponding isotope coefficient α * . Upon decreasing ntot such that nB becomes exponentially small, we find a rapid change in sign of α * . This is related to the fact that the system approaches a state which is more BCS-like, where electron pairing occurs via virtual excitations into bipolaronic states and where T * coincides with the onset of superconductivity.