Yes please. I've been saying this for years. Just because one person isn't as familiar with this acronym as he is with BYU, MIT, UCLA etc doesn't mean it is any less commonly used. (though I've never heard "Hopkins" before and I grew up an hour away) UMD, UNC, UF, FSU, CMU, etc etc should be accepted. Some are, some aren't, which is inconsistent.
Another +1. I only call Virginia "UVA" to the point that I almost thought I had gotten the question wrong when it didn't work. Also, I primarily hear "Hopkins" instead of Johns Hopkins, so I support APHill's comment too.
I don't normally complain (really I don't) but why doesn't University of Virginia work as an answer for the school Jefferson founded? 'Cause that's its name.
UVA
CMU
JHU
BYU
UF
UChicago
These are all very common.