2005 Avalon Tire Noise over 40mph

[harrybash]

Hi,
I have a 2005 Toyota Avalon Limited. The car has around 39000 miles on it and has been maintained well. I just bought the car recently (used at 36000 miles) from a dealership and got extended warranty on it and I am waiting for my warranty info to come in the mail. After which i will take it to the dealership to have it checked.
Until then maybe someone here has encountered this problem, and knows a solution/cause for it. My car makes a buzzing sound which increases as the speed increases. It becomes prominent as soon as my car goes over 40mph. I am pretty sure the sound is related to the wheels and or tires or maybe the steering, because when I am going over 40 and steer to the right the sound increases. The more I steer to the right the louder it gets. But when i steer in the opposite direction, that is to the left, the sound decreases and even gets to a point where it is really faint and almost non existent.
Some more info:-
The car was pulling a lot to the left when i bought it, so i thought maybe it is the alignment that is the cause of all this. I took it down to my local Mr. Tire and got alignment and had all 4 tires rotated, but the buzzing sound is still there and the car is still pulling to the left. There is no uneven tire/tread wear on any of the 4 tires and they have a lot of life left in them. Maybe the wheels need balancing? but shouldn't that show by uneven tire wear and rattling/vibration(which i get little to none).
Please someone help me every time i sit in my car and am driving i turn my radio off every 5mins to listen to the noise, to check if it is still there or maybe it has magically gone away. This noise is sucking the life out of me and my whole driving experience in my otherwise noise free, acoustic powerhouse Avalon.
Also the noise is not from the engine because when the car is in parking and i step on the gas pedal I don't hear that noise at all, all i hear is the beautiful and almost silent woosh sound of my V6.

EDIT:- Sorry for the Double Threads accidentally submitted twice Please delete one! Sorry once again.