We explore the possibility of jet collisions with accreting tori orbiting around supermassive black holes. The analysis provides constraints on the formation and the observational evidence of the host configurations. We use a General Relativistic Hydrodynamic model, investigating the light surface contraints in aggregates of misaligned tori orbiting a central static Schwarzschild black hole. Each (toroidal) configuration of the agglomeration is a geometrically thick, pressure-supported, perfect fluid torus. Aggregates include proto-jets, the open cusped solutions associated with the geometrically thick tori. Collision emergence and the stability properties of the aggregates are considered at different inclination angles relative to a fixed distant observer. We relate the constraints to the relevant frequencies of the configurations and fluid specific angular momentum, separating the constraints related to the fluid hydrodynamics and those related to the geometric backgrounds. We analyze the existence of accreting tori supporting jet-emission. We discuss the existence of orbit-replicas that could host shadowing effects in replicas of the emissions in two regions; close to and far from the BH (horizon replicas in jet shells). Our investigation clarifies the role of the pressure gradients of the orbiting matter and the essential role of the radial gradient of the pressure in the determination of the disk verticality. Finally, we analyze the possibility that a toroidal magnetic field could be related to the collimation of proto-jets.