Let me go over things again. One fan is going to do both.
You will need a passive intake as large as your exhaust, which should probably be 6". Remember that you can use things like register boots and put a register cover over any exposed intake. This is nice even if they are behind the entertainment center. The ducting that you plan on running up into the attic space will be connected to the outlet side of the hood. Then as you mentioned up through the access hole, with the fan in the attic. You should probably run more ducting to a gable end that has some ventilation vents. You do not want your attic getting too moist.
PM sent. Thanks.