I agree with the inline for noise control. I have F&P (I wouldn't buy again) - 90cm built to into cabinet. It had fancy glass cover I removed as it was just restricting the air flow. To the vent was another 4metres or longer and facing north (we get lots of northerlies in Welly) so added inline blower which was around $400. Most of time unless I am cooking steak - I just use the inline blower and not bother with F&P extraction fan. That's what I would do again if I renovating. Need dual fan set up for proper extraction.
Just a get a cheap one for hygienic reasons; but make sure the canopy is bigger/wider than your stove / gas burner.