  Searches for pseudoscalar axion-like-particles (ALPs) typically rely on their
decay in beam dumps or their conversion into photons in haloscopes and
helioscopes. We point out a new experimental direction for ALP probes through
their production via the Primakoff process or Compton-like scattering off of
electrons or nuclei. We consider ALPs produced by the intense gamma ray flux
available from megawatt-scale nuclear reactors at neutrino experiments through
Primakoff-like or Compton-like channels. Low-threshold detectors in close
proximity to the core will have visibility to ALP decays and inverse Primakoff
and Compton scattering, providing sensitivity to the ALP-photon and
ALP-electron couplings. We find that the sensitivity to these couplings at the
ongoing MINER neutrino experiment exceeds existing limits set by laboratory
experiments and, for the ALP-electron coupling, we forecast the world's best
laboratory-based constraints over a large portion of the sub-MeV ALP mass
range.
