Help! MSN or Post-Certificate with MSN in anesthesia

I'm about to graduate with my BSN from a university. I have two years of experience in the Level I Trauma emergency room setting. I plan on moving into ICU once I graduate with my BSN. I have no experience yet in a critical care area such as the ICU. As I'm accumulating experience in the ICU, would I be saving myself time pursuing my MSN (thinking of going online as I'm working), then going the Post-Certificate in Anesthesia route? Or should I get the 1-2 years of ICU experience in and as a BSN graduate apply as a traditional student straight into anesthesia school eventually picking up my MSN while studying concurrently with anesthesia courses? Point here being is that I accumulate experience in the ICU 1-2 years with no school, until I apply. What's smarter? Thanks for any input.