An apparatus which includes: a circuit board having a radiofrequency (RF) structure at a first location thereof, the RF structure formed from a conductive trace of the circuit board; a heat carrier; and a multi-stack cooling structure coupling the circuit board and the heat carrier to each other. The multi-stack cooling structure including a first stack adjacent the RF structure at the first location and a second stack at a second location. The first stack including a dielectric layer adjacent the heat carrier, and a thermal interface material (TIM) that couples the dielectric layer and the circuit board to each other, the dielectric layer having higher thermal conductivity and higher rigidity than the TIM. The second stack including a metal layer adjacent the heat carrier, and the TIM that couples the metal layer and the circuit board to each other.