Your plight is a fine example of why the modding scene has become huge on PC
Not only can it offer vastly improved fidelity (increased details) of SqE made clothing/gear at a cost of no performance hit at all, it offers a way to improve on many of the faults that the gear has in the game , as an example viera can wear many many hats from a single mod ( not all as its a work in progress)
That issue you state about a difference in FM to ML hats positioning , thats something that may already be fixed by a mod , if not it could be something to request from a modder that is an expert in gear upscaling and adjusting , like Redmagos on nexus mods , the superb Bibo+ and TnF Gen 3 gear upscaler and redesigner (one of many great gear designers the mod scene has for ff14)