Isogeometric collocation is a computationally efficient alternative to Galerkin methods, achieving high-order accuracy with fewer degrees of freedom by enforcing the strong form of partial differential equations (PDEs). In incompressible flow problems, divergence-conforming collocation schemes ensure a pointwise divergence-free velocity field. However, their stabilization in advection-dominated regimes remains an open challenge, as classical methods do not directly extend to the collocation setting without compromising accuracy or structure preservation. Stabilization techniques have been explored by extending Streamline-Upwind/Petrov-Galerkin (SUPG) and residual-based viscosity methods, developed for compressible flows. We build on these approaches and propose an entropy-based artificial viscosity to enhance stability while preserving divergence conformity. Numerical tests for high-Reynolds-number flows assess the impact of these techniques on solution accuracy and robustness. Preliminary results indicate that entropy-based stabilization effectively suppresses spurious oscillations while maintaining solution accuracy. This study contributes to the development of stabilization techniques for isogeometric collocation, addressing the challenge of incorporating stabilization while maintaining structure-preserving properties. Future works will focus on refining the theoretical foundation of these methods in isogeometric collocation and extending their applicability to more complex flow problems.