A well with existing perforations is re-fractured by positioning isolators at locations offset from the existing perforations and perforating through those isolators. The isolators are part of a bottom hole assembly that can be delivered on coiled or rigid tubing. The initial fractures can be straddled by the isolators with no mandrel openings between them to effectively isolate the existing perforations as new perforations take place through the isolators. The elements of the isolators can have internal gaps to allow for axial shifting after perforation that is thermally induced. The gaps assure remaining alignment with the new perforations despite some axial shifting. The bottom hole assembly can alternatively have an anchor to resist thermally induced forces that can cause axial shifting.