  We present and evaluate the prospects for detecting coherent radio
counterparts to gravitational wave (GW) events using Murchison Widefield Array
(MWA) triggered observations. The MWA rapid-response system, combined with its
buffering mode ($\sim4$ minutes negative latency), enables us to catch any
radio signals produced from seconds prior to hours after a binary neutron star
(BNS) merger. The large field of view of the MWA ($\sim1000\,\text{deg}^2$ at
120\,MHz) and its location under the high sensitivity sky region of the
LIGO-Virgo-KAGRA (LVK) detector network, forecast a high chance of being
on-target for a GW event. We consider three observing configurations for the
MWA to follow up GW BNS merger events, including a single dipole per tile, the
full array, and four sub-arrays. We then perform a population synthesis of BNS
systems to predict the radio detectable fraction of GW events using these
configurations. We find that the configuration with four sub-arrays is the best
compromise between sky coverage and sensitivity as it is capable of placing
meaningful constraints on the radio emission from 12.6\% of GW BNS detections.
Based on the timescales of four BNS merger coherent radio emission models, we
propose an observing strategy that involves triggering the buffering mode to
target coherent signals emitted prior to, during or shortly following the
merger, which is then followed by continued recording for up to three hours to
target later time post-merger emission. We expect MWA to trigger on
$\sim5\text{--}22$ BNS merger events during the LVK O4 observing run, which
could potentially result in two detections of predicted coherent emission.
