Silicon-on-insulator (SOI) structures and related methods of forming such structures. In one case, a method includes providing a silicon-on-insulator (SOI) handle substrate having: a substantially uniform resistivity profile along a depth of the handle substrate; and an interstitial oxygen (Oi) concentration of less than approximately 10 parts per million atoms (ppma). The method further includes counter-doping a surface region of the handle, causing the surface region to have a resistivity greater than approximately 3 kOhm-cm, and joining the surface region of the handle substrate with a donor wafer.