If by 'bridging' you're referring to Internet Connection Sharing (ICS), then click that link for some guides on how to use the ICS which comes with Windows. (What ICS actually does is turn the computer into a router.. although its most popular application is for sharing an internet connection)
Could you elaborate on what you mean by "can't have both network cards enable at the same time"? Do you mean that the hardware physically conflicts (As in, some kind of problem relating to the drivers/motherboard/hardware/BIOS/firmware/etc) ... or had you set them up to use conflicting network addresses?
If the network cards are working fine, and you've set them up with 2 different IP addresses on the same 'logical' network, then the answer to getting them working is a case of changing the network portion of the IP address.
(My interpretation of some of the problems you experienced last year would be that you had multiple networks using the same network address - this is something that is guaranteed to cause all devices and computers on the networks to get confused)
Out of curiousity, what Settings have you set for each adapter? namely, IP address & Subnet mask?