Some of the vendors only provide the dimension and CFM, but not the initial pressure drop. So how can we calculate the pressure drop theoretically? Can we assume these filters as packed beds and use Ergun's equation?
Looking at Ergun's equation, it seems appropriate. However, this applies for packed beds. So I suggest that you first calculate values using Ergun's equation (provided that all parameters are given). Then try to create a simple experimental set-up for the HEPA filter and AC filter using fans (to simulate the air stream), and pressure gauges. This way you could compare the values.
btw, for what application are you intending it would be used?