Videos showing filament dynamics at parameters listed below. All videos are in a frame of reference moving horizontally with the filament center-of-mass. Supplementary Video 1: Non-Brownian & Unconfined Shear Flow; Mu_bar = 1e5, y_0 = 0.30, upward flip Supplementary Video 2: Non-Brownian & Unconfined Shear Flow; Mu_bar = 1e5, y_0 = 0.30, downward flip Supplementary Video 3: Non-Brownian & Unconfined Poiseuille Flow; Mu_bar = 1e5, U_c = 1, H = 0.5, y_0 = 0.30, upward flip Supplementary Video 4: Non-Brownian & Unconfined Poiseuille Flow; Mu_bar = 1e5, U_c = 1, H = 0.5, y_0 = 0.30, downward flip Supplementary Video 5: Brownian & Confined Poiseuille flow; Mu_bar = 1e4, U_c = 1, H = 0.5, y_0 = 0.45 Supplementary Video 5: Brownian & Confined Poiseuille flow; Mu_bar = 5e5, U_c = 1, H = 0.5, y_0 = 0.45