In order for me to remove the wireless "card" I would have to remove the motherboard from the case since it is secured by a screw on the bottom of the motherboard. (Asus P9X79_DELUXE).
You probably don't need to remove it to disable it. E.g. on my TouchSmart there was a physical slider switch would could do it. Then just hook up an Ethernet cable to your modem and be wired instead of wireless. Probably would be a good idea to get the router out of the picture too anyway.
Otherwise here's another thread where you could get some more ideas
Is it true that you have to have 8.1 in order to upgrade to 10?
Supposedly you could start from W7sp1. <eg>
HTH
Robert Aldwinckle