Right up to the point where it asks for copies of SARs, a bank can require anything it wants from an MSB customer; e.g. policies, procedures, CTRs, audit reports, examination reports, etc. At any point along that path the MSB is entitled to tell the bank to take a hike and simultaneously begin a journey of its own to a different bank.
The amount of intelligent oversight a bank exercises over an MSB is dependent on the level of risk it perceives. Asking for all of the above or even CTRs would suggest this MSB is keeping you awake at night; i.e. they are higher than "high risk." This isn't due diligence, it's an investigation.
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In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.