I suggest looking outside to find a good tyre alignment shop. Even though the alignment provided is free, some shops out there offer better services such as high speed balancing of your tyres.

I did a high speed balancing on my tyres and it performed really well. But not every shop does this. Basically it involves jacking up your car and putting your tyre against a dolly which will then run it and determine if there is any vibration. It's much more accurate than standard balancing.

Vibration typically indicates a balancing issue. Have the wheel balanced and it should be ok.

High speed balancing basically looks out for vibrations that occur when the wheels are spinning at high speeds. Most of the time this is when the vibration rears it's ugly head and causes your steering to shake.