Personal opinion, strongly held: if a bank makes SAR filing decisions once a month it's a clear indication of indifference. The question I usually ask is "How often does your loan committee meet?" I would use that answer in comparison to the SAR committee meeting frequency as a gauge of their relative importance.
There are lots of variables here, case volume and committee structure among them, but I suggest you start with a discussion of "weekly, as necessary;" i.e. if there is nothing to talk about this week, we do not meet, but we meet in any week where there is something to talk about.
In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.