  Employing unbiased sign-problem-free quantum Monte Carlo, we investigate the
effects of long-range Coulomb forces on BEC of bipolarons using a model of bond
phonon-modulated electron hopping. In absence of long-range repulsion, this
model was recently shown to give rise to small-size, light-mass bipolarons that
undergo a superfluid transition at high values of the critical transition
temperature $T_\mathrm{c}$. We find that $T_\mathrm{c}$ in our model even with
the long-range Coulomb repulsion remains much larger than that of Holstein
bipolarons, and can be on the order of or greater than the typical upper bounds
on phonon-mediated $T_\mathrm{c}$ based on the Migdal-Eliashberg and McMillan
approximations. Our work points to a physically simple mechanism for
superconductivity in the low-density regime that may be relevant to current
experiments on dilute superconductors.
