Win98 SE with 2 NIC’s?

I’m trying to get a Win98 SE machine to work with 2 NIC’s. One is for a LAN, the other for a DSL modem. Windows is able to detect both cards just fine, but I cannot browse my LAN. The problem, I’m thinking, seems to be with the way windows handles TCP/IP and DNS. The DSL modem needs DNS for the web, but the LAN card does not. However, turning it on with one card also forces the other to enable DNS, and vice-versa. Is there a way to force windows to distinguish between the 2 cards better so I can enable DNS on one and not the other so I can browse both my LAN and the net at the same time?

Thanks in advance.