yeah, give it a try, as far as I know the DHCP can be set to hand out whatever DNS the server is using... Its been a while since I looked at one though, and the ones we learned on were 2000....
Are you on a static or dynamic IP?
If your on static you could always start your own DNS, and that solves THAT problem... but for dynamics... Im PRETTY certain the DHCP server hands out the DNS as well...
if not can you specify the host name of the DNS server?