Hi, I have a room over the garage. When my home was built the insulation contractor installed insulation from the garage ceiling side but did not push the insulation tight to the floor above, so there is a small (2-3") gap between the insulation and the floor. This gap extends to the exterior of the house, so the rim joist is not fully insulated. The contractor has agreed to come back and fix this. They have proposed pushing up the existing insulation and blowing additional insulation below that to fill the bay. Anyone have experience with this? Will it work? Thanks.