How to find the instantanous SNR over Fading channel
You are trying to find the average SNR. In instantaneous SNR, the power of the channel is $|h|^2$.

Your SNR equation isn't accurate. $N_0$ is usually denote the PSD of the noise. The noise power is $\sigma_n^2 = N_0\,W$, where $W$ is the signal bandwidth. Or you define SNR as $E_b/N_0$ where $E_b$ is the signal energy.