  We discuss various aspects of a neutrino physics program that can be carried
out with the neutrino Beam-Dump eXperiment DRIFT ($\nu$BDX-DRIFT) detector
using neutrino beams produced in next generation neutrino facilities.
$\nu$BDX-DRIFT is a directional low-pressure TPC detector suitable for
measurements of coherent elastic neutrino-nucleus scattering (CE$\nu$NS) using
a variety of gaseous target materials which include carbon disulfide, carbon
tetrafluoride and tetraethyllead, among others. The neutrino physics program
includes standard model (SM) measurements and beyond the standard model (BSM)
physics searches. Focusing on the Long Baseline Neutrino Facility (LBNF)
beamline at Fermilab, we first discuss basic features of the detector and
estimate backgrounds, including beam-induced neutron backgrounds. We then
quantify the CE$\nu$NS signal in the different target materials and study the
sensitivity of $\nu$BDX-DRIFT to measurements of the weak mixing angle and
neutron density distributions. We consider as well prospects for new physics
searches, in particular sensitivities to effective neutrino non-standard
interactions.
