First it's nurse anesthetist, not anesthesiologist. The fastest way to become a CRNA I know of would be to complete a 2 year associates degree then go directly to work in an ICU while also enrolling in an RN to BSN program. A couple of the guys in my class were able to begin anesthesia school at right about 3 1/2 to 4 years after starting nursing school
. One of the guys who did an accelerated BSN (had previous BS degree) in a year, spend 18 months in an ICU and applying to CRNA school. He started anesthesia school 32 months after starting nursing school. Our school, like the other 3 out of 4 programs (one is a 36 month DNP program) in this area was 27 months long. The big bottle neck is getting hired into an ICU out of nursing school. And ICUs are not all created equal. The qualiety of ICU experience you have has a lot more to do with getting into CRNA school than academics.
Since we graduate with masters degree we can teach but not nursing. Only a small number of CRNAs graduate with a masters in nursing. Only the big universities with schools
of nursing grant the MSN. My school didn't even have a department of nursing. A majority graduate with different masters degree. They range from masters of nurse anesthesia, masters of biology, and I have even seen one that graduates them with a masters in health care administration.