I guess the only real way to do it is to have some sort of air filtration system either in the room where the equipment is or the whole house. Not cheap. I say something like this on Grand Designs the other week becasue the kids were highly allergic to everything, so air purification was important.
Unless you are looking to use your AV whilst wearing a space suit or want to hermetically seal the rooms with hepa filters then simply use a few drops of fabric conditioner in water and use a very well wrung out cloth. The fabric conditioner has anti static ingredients for clothes, it should help avoid the static charge attracting dust to your equipment. you can't eliminate the problem but it will reduce it.
Are ionisers still a thing? They used to use them in demos to clear smoke fill boxes, not to rid the smoke but to stop the particles from floating in the air. I would have thought part of the issue of static attraction is the persistence of the particles in the air which are then attracted to your equipment.
Dust settles at about 300mm per hour in still air.
Cover your a/v kit overnight, close all room openings, and vacuum everything with a HEPA filtered vacuum clean, nilfisk are good, in the morning.
Unfortunately you take more particulates in with you when you want to use the room.
Sounds like you need tacmats and clean room clothing, not really fun. You'd also have to remove all soft furnishings, unless they were nylon.
Sound like a cleaning regime and an enclosed filtered cabinet would be best.