the only real solution naturally is like the one of limewire, an option which allow the selecting of the specific adapter (for example through the binding of its specific IP address instead of INADDR_ANY as made by default).
the proxy idea is the only alternative which comes in my mind.
For example if you try proxymini (
http://aluigi.org/mytoolz.htm#proxymini) you can launch it with the following parameters:
proxymini -l 192.168.0.2
where 192.168.0.2 is the example IP of your wireless card, so you need only to set that IP address and the port 8123 in the SOCKS/proxy configuration of Firefox