You may end up having to evacuate the A/C system and remove the evaporator unit and wash and scrub the housings and evaporator with detergent, dry and re-assemble and recharge.
I worked for Honda for many years and the musty smell was a common problem...cleaned and washed many evaporators.
Also, as stated, locate the evaporator case drain hose and make sure it is clear. If there is no cabin filter on your vehicle, lots of debris, pine needles, small leaves etc. accumulate in the casing and hold moisture leading to the smell.