I was entertaining leaving one of my positions and taking a job with a VA. They already had one emergency physician intensivist employed who did a week every two months in the ICU in the VA in addition to her emergency medicine obligation. I believe they defined it as 75% EM 25% critical care.
They also were willing to work with me to do both before they tried to screw me with the tele-work promises for the administrative time I would have. If you do decide you want do emergency medicine and then a critical care fellowship there are options within the VA system. If you go on USA jobs.gov you can clearly see some positions just for intensivist only.
That said, pulmonary critical care will give you more options in the military and VA health system. They seem to be a little behind on the split that’s happening with pulmonology and critical care medicine in the private world.