Adding the following to your ~/.ssh/config will cause all SSH access to servers named *.uits.uconn.edu to hop through ssh.uits.uconn.edu, authenticating as your NetID.  Note that if you have kinit’d as <NETID>/admin, or if you have copied your public SSH key to ssh.uits.uconn.edu and are using ssh-agent, this will be transparent.

Host ssh.uits.uconn.edu
    ProxyCommand none

Host *.uits.uconn.edu
    ProxyCommand ssh -A <NETID>@ssh.uits.uconn.edu exec nc %h %p