The Saints, who reached the Buildbase FA Trophy semi-finals on Tuesday evening, will now play host to the Pilgrims on Tuesday March 27 (kick-off 7.45pm).
The match was originally scheduled for Saturday February 3 and postponed again on Tuesday March 6 — both due to Brackley's ongoing FA Trophy commitments.
A new date for the home fixture against Harrogate Town is still awaited and will be communicated as soon as possible.