I think my answer hinges on what you mean by, "I'd like to be comfortable teaching residents/fellows in the MICU". Does that mean you would like to be comfortable teaching airway management to these residents/fellows (presumably mostly IM-trained) or does that mean you would like to be comfortable teaching the rest of medical CCM while letting them learn airway from others and having "airway backup"?
If it is the former, I can not emphasize enough the importance of obtaining training FAR beyond intubating MICU patients under the typical supervision of an IM-CCM-trained intensivist. Spending a month in the OR "learning" from an anesthesiologist is equally inadequate, although better than "learning in the MICU".
I would be happy to expand my response further, but I am still not sure what your airway and teaching goals are.
I will say that the highest-risk procedure an intensivist performs -- by far -- is endotracheal intubation...and sticking the plastic into the hole is the easiest part. I will also say that any anesthesiologist who claims OR airway training is adequate for ICU airway management is kidding themselves and you.
As you can tell, I have strong opinions about this and am considering study of standardization of airway management part of my career. Perhaps you will benefit from hearing from others before I continue.
Please don't minimize airway training,
HH