OS X adds "incorrect" DNS servers "on top" of correct ones
Firstly, I'm going to assume that your wireless IP address is provided by DHCP (Domain Host Configuration Protocol), in addition to DNS settings from the same DHCP server. 

It’s not clear how  10.0.0.255 is not a valid and correct DNS as opposed to the DNS handling many requests and responding slowly.

If the DNS of 10.0.0.255 really does not work, you may want to check with the campus wireless providers. For all you know; you could be connecting to someone pretending to be the campus wireless; and also failed to setup their fake AP correctly.

You could also just manually enter the one correct DNS in your settings which will remove the second response and wait until the network gets fixed.