OK from the PCI Vendor and Device number that is an Atheros 802.11a/b/g/n, BT4.0+HS wireless adapter. So the Intel drivers on GigaBytes support page aren't going to work. To verify you said you have the GA-F2A88XN-WIFI motherboard? And you are trying to install a driver for the included wireless module that came with the motherboard? You haven't added another card or changed the module out?
Either way, I think that this link will give you the driver you need:
http://service.smartpcupdate.com/downloads/hpus_n525aa8838915.exe?from_site=1
I've looked in the INF, and it most certainly will find a VEN_168C&DEV0034SUBSYS_663111AD. Essentially how you read these is the number after VEN is the vendor number which in this case is Atheros, the number after the DEV is the device which is registerd as a 802.11a/b/g/n, BT4.0+HS device. It's that string that Windows searches for in the INF file to determine if the driver you are installing is the correct one for the device.
I've scanned the file for viruses when I downloaded it, but I would suggest you do the same before executing it. Always good to be paranoid as the source isn't directly from Atheros or GigaByte and you don't really know me.
Give this a try.