Ahhh this is perfect...lol
I just got a 96 sunfire standard yesterday and i have the exact same loud noise and i think i can describe it a lil better.
Ok the noise only starts up when the car starts driving. It sounds exactly like there is mud tires on the car.....the faster the car goes the louder it gets.
It's not a belt or anything squeeking like that, it's a constant deep, loud humming, BUT as I have said it gets louder as the car goes faster and when the car is slows down so does the noise.
Im thinking it might be the tranny or gearbox or whatever the heck is under the car, but it sounds exactly like driving with mud tires or large treaded tires.
I have brand new all seasons and front and back breaks, drums and rotars are all new as well as struts so it's nothing to do with that at all.
Also my car shifts nice and smooth and no bad noises from engine at all.
Now i hope i have described this a lil better so all ya other folks here can better figure out.
Thanks for any input.