Surface scattering and diffuse reflections from acoustic diffusers have recently become a significant topic of research for room acoustics. An acoustical goniometer can be implemented in the form of a circular microphone array to characterize scattered responses for various types of diffusing elements/devices. This research is also intended for experimental validation of diffraction simulations of finite-sized diffusing devices using the physical theory of diffraction (PTD). To cope with experimental challenges, an acoustic goniometer must achieve a fine enough angular resolution in addition to fulfilling far-field requirements. This paper will discuss pragmatic implementations and experimental results of portable goniometers with a radius of up to five meters and an angular resolution of 1.25 degrees. The pragmatic implementation is intended to be easily deployable in empty, indoor spaces of sufficiently large dimensions for scattered reflection characterization. This paper highlights an effort of increasing experimental efficiency of measurement routines for oblique incident characterization and challenges of characterizing full angular ranges of scattered reflections.