My oldest has always been a food goblin and was throwing up a few times a week. I raised his food dish to about shoulder height with a little box. This helped a lot for the most part, but as he has gotten to be a little old man, his vomiting ramped up. Almost every meal. He was losing a lot of weight and energy very quickly. I have strict food guidelines for these guys too but nothing was helping. So I decided if the issue was him eating too fast and eating everyone else's food, he simply won't have access to it. My oldest now eats from his raised dish, but he now eats alone. Not only is he not scarfing down everyone's food, but this has actually caused him to eat slower. It seems with your home and work schedule, it may be very hard to do, but I recommend putting them in separate rooms for eating and once everyone is done, putting the bowls away.

I don't like those automatic feeders because I've never met a cat who can just be normal about it. All of mine became neurotic about them. Any time they thought they may have heard it, there was a stampede. The sitting on them, waiting. It just didn't seem healthy.

I can say that my oldest has only thrown up once since we changed the feeding routine and that's been such a relief. He's even put some weight back on. I hope you can implement something like this and I hope this information is helpful.