Most corporate networks (that I’ve seen…big caveat there) don’t use auto-discovery of network resources or peer to peer networking. Most of them use scripted login mappings for drives and setting up printers and such (and most I’m familiar with actually use hidden shares, even for the printers). None of this would be hampered by setting up a router.
For that matter, assuming the workstations are in the domain they should still be search-able (or whatever Windows calls it when you can look at the network neighborhood) if you have WINS and DNS set up correctly.
I don’t really work much on the systems side, so you can take the above with a pretty large grain of salt…I THINK that’s how it works, and based on the corporate networks I’ve seen (most of which don’t have a single IP subnet), it shouldn’t be a major problem I shouldn’t think. Of course, the OP’s IT guys told him to ping around to find a static address that might be available, so…
(ETA: If it comes down to having to search for an IP address, OP, there are a lot of IP subnet scanners you can download. I’m not going to link to it, but I have Advanced IP Scanner on a thumb drive for just such emergencies…though, generally not to give out static IP addresses on our corporate network)
-XT