One of the primary goals when studying galaxy formation is to understand how the luminous component of the Universe, galaxies, relates to the growth of structure which is dominated by the gravitational collapse of dark matter haloes. The stellar-to-halo mass relation probes how galaxies occupy dark matter haloes and what that entails for their star formation history. We deliver the first self-consistent empirical model that can place constraints on the stellar-to-halo mass relation down to log stellar mass log₁₀(m^*/M_⊙) ≤ 5.0 by fitting our model directly to Local Group dwarf data. This is accomplished by penalising galaxy growth in late-forming, low-mass haloes by mimicking the effects of reionization. This process serves to regulate the number density of galaxies by altering the scatter in halo peak mass $M^{\mathrm{peak}}_{h}$ at fixed stellar mass, creating a tighter scatter than would otherwise exist without a high-z quenching mechanism. Our results indicate that the previously established double-power law stellar-to-halo mass relation can be extended to include galaxies with $\log _{10}(M^{\mathrm{peak}}_{\mathrm{h}}/{\rm M}_{\odot })rsim 10.0$. Furthermore, we show that haloes with $\log _{10}(M^{\mathrm{peak}}_{\mathrm{h}}/{\rm M}_{\odot })\lesssim 9.3$ by z = 4 are unlikely to host a galaxy with log₁₀(m^*/M_⊙) > 5.0.