I have a customer with an 05 and he had a noise issue. We installed Cooper CS4's on his vehicle. It did turn out much quieter; however, you have to remember the the low profile of these tires are not helping the road noise. Less side wall means less cushion. He has the local spray in bed liner shop do his wheel wells. It did help, but cost him a little. As far as changing wheels to accept a tire with more side wall, DO NOT! The manufacture put out a TSB that prohibits any after market wheel on thes vehicle. I am to assume that there have been problems.
Wish I had better news for you, but sleek and sporty, sometimes there ls a trade off.
You'll get a slight difference, but mostly you'll have the warm fussy feeling. Look, like I said, you give up some creature comforts for sporty. Look at the bright side, it's not a Miata.