I found it all kind of ridiculous, but my solution was to graduate 2 years early, not to fuck with the administration. Didn't seem worth the time or energy.
A better idea would be to create a duplicate A record, not a CNAME. CNAMEs are really meant for something else.
Although in practice, lots of people do use CNAMEs for the purpose you are suggesting.
If in any problem you find yourself doing an immense amount of work, the answer can be obtained by simple inspection.