For some applications such as binaural 3D audio, impulse responses (IRs) measured at sampling rates of 96 kHz or higher may be desirable, if not necessary. However, if not properly employed, conventional IR measurement techniques at these higher sampling rates may result in low signal-to-noise ratios (SNRs), undesirable pre-responses (or other processing artifacts), and/or potentially even transducer damage. In this paper, the above challenges are addressed and an iterative measurement procedure is proposed which is experimentally shown to achieve superior results compared to conventional techniques in terms of measured SNR and peak pre-response amplitude.