When we had our kitchen done we had originally ordered a big fancy schmancy Island extractor fan but the ceiling over the island had a false ceiling so that idea went out the window. SO anyway, we had our electritian buy us a fan that goes right into the wall, and its CRAP, you need to make sure that you buy a really powerful one that is going to ssssssssssssssssssssssssuck the air right out of that kitchen. I would do some more research on the internet and see what works and what doesn't....
I cook most of my meat outside on the BBQ (yes, I am the sucker out there in my PJ's with an umbrella) mainly because I can't stand the smell of meat through the house.
Good Luck!!