There is no need to download or install any additional drivers in case you are using BT3F, as the card will work perfectly out of the box.
You seem to be confusing the process of cracking WEP with WPA as there is no need to fake-authenticate with the AP to capture the handshake. Simply make sure that you are actually using WPA encryption and that the client also is connected to the AP through a wireless connection. You could try manually disconnecting the client from the AP and check if you can intercept the handshake when you re-connect. It could also be a good idea to use wireshark and analyse the packets that you are able to receive to check if you are collecting even part of the 4-way handshake or nothing at all.



