This is an area where your diplomatic skills are more important that your accounting abilities. Your biggest challenge is going to be getting the Chair to relinquish some of her power – after that it’s not vital for you to examine the books forensically – just let it be known that there are checks and balances.
Regarding Flame Tree’s comments about being aware of your state’s strata laws, one of them, as mentioned above, is that the committee must appoint a secretary. That is your pathway into oversight.