TLDR
Harvard Excavation Approach:
Utilize the layback method (slope soil 1.5 H : 1 V instead of shoring as noted in geotech report and ) for soil excavation, avoiding the need for shoring. Refill the excavation site with structural fill (including some of the saved soil) Install shallow foundation and slab (as previously designed) Theoretical advantage: Removing a substantial amount of soil increases the likelihood that aggregate piers wont hit an undrillable obstruction.
Standish Excavation Approach:
Utilize the lay-back method for soil excavation where possible, avoiding the need for shoring in most places. In areas where the layback method is not feasible, install shoring. Refill the excavation site with structural fill (including some of the saved soil) Do NOT use aggregate piers or Micropile. Install shallow foundation and slab (as previously designed)