We report the dynamics of a single-mode squeezed vacuum in evanescently coupled waveguide arrays incorporating next-nearest-neighbor coupling (NNNC) and disorder. Using an extended tight-binding framework, we show that NNNC reshapes the system's dispersion (phase), breaks spectral symmetry, and introduces alternative quantum pathways for the evolution of quadrature squeezing. This leads to a squeezing revival, squeezing transfer, squeezed quadrature swapping within a mode $(Q\leftrightarrow P)$, and partial confinement of quantum noise near the excitation site in a larger waveguide array. Both on-site disorder (OSD) and hopping disorder (HoD) degrade local squeezing, localizing quantum noise to a few modes, where moderate NNNC enhances this confinement and stronger NNNC counteracts it in larger waveguide lattices. An analytical and numerical analysis of the model suggests that NNNC partially preserves local mode squeezing by providing alternative quantum routes for quadrature rotation, even in the presence of disorder. These results suggest a mechanism for engineering quantum-noise transport in integrated photonic lattices, where disorder and next-nearest coupling make the model more realistic for on-chip quantum technologies.

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• Quantum optics