All the following info is per my husband who is a CA 1 currently; both of us are from NY and interviewed at many programs around here.
Nassau is closed, you are correct.
I know people in the Cook County program,they work hard but they also feel they receive excellent training. Never rotated but from what I was told they seem to have excellent propositions after residency. Also take work hard with a grain of salt; probably any surgical intern would think those hours leave plenty of time for reading and other things and people used to working 40 hours a week might find it taxing. Depends how much you like hard work/anesthesia.
Brookdale I did numerous rotations at, but not anesthesia. They do take mostly IMGs with super board scores and interview all of them and match their spots before the match. They definitely work hard but I felt leery about this program both from observing it during my surgical rotations and from how the residents spoke about it. I also got the feeling they did a lot of off site rotations for subspecialties as well. But someone more familiar with the program might be better suited for advice.
NY Methodist; is in a good region of brooklyn and appeared to be pretty strong in regional. However the PD was to put lightly, the single most arrogant and malignant man I have met in my entire life. And I am a prior prelim surgery resident, no light comment. He repeatedly told me that 99's on my boards were not enough, he had plenty of those around and made direct comments to me about spots being promised a year or two ahead to people he knew (an associate's son, nephew, etc) as to why spots were so hard to get. He also repeatedly admonished me for being a caribbean grad, questioning the validity of my usmle scores in light of that fact, and kept making comments such as "the party's over" when referring to why I wasn't good enough for an American med school. I met some other attendings who were quite nice but it took a lot for me to sit there and have my dignity attacked. Side note is that they also mostly fill internally with a lot of SGU/Ross grads that have rotations set up at the hospital; found it quite funny why he was attacking me about being a carib grad in that light. Anything else about the program that I knew went out the door after meeting with the PD; single most demeaning experience in medicine since starting med school.
Judging from your previous post, you are an IMG concerned about spots and I would def look at all these programs. They are all in major metro areas so if you like big cities, great. I would lean towards cook county first. If you find the PD of methodist slightly more personable, the program seemed good and in a good part of town. Brookdale like the previous poster said is in the war zone of east brooklyn and I just didnt feel too solid about going there. Good luck, it can be done just apply BROADLY. Dont ignore the midwest they have some solid programs out there