Gaussian beam shooting is proposed as an alternative method to compute backscattered fields in Non-Line-of-Sight ground-based radar environments. Propagated fields are represented as a superposition of Gaussian beams launched from the emitting antenna and transformed through successive interactions with obstacles. This 3D algorithm is augmented with a beam re-expansion scheme addressing the problem of beam widening. Realistic scenarios will be used to test the ability of Gaussian beam shooting to accommodate typical propagation environments for ground-based UHF radar, including buildings