"bcm43xx" is the WiFi adapter, you've asked for "LAN driver", which usually refers to "wired Ethernet"
What are exact hardware IDs for your wireless device? Go to Device Manager, locate the driver with question mark, Properties, then Details tab, select "Hardware IDs" from drop-down list, and provide VEN_xxxx and DEV_yyyy strings.
Have you tried connecting with wired Ethernet, and leaving Windows to locate the drivers by itself?