The legislation permits the Committee to act on behalf of the OC. You could ask the Secretary of the Committee and/or the Committee to authorise the SM to provide your access to the Roll, being that you are a committee member. 

However, the easy way is to just pay the $31 inspection fee! It will save you a lot of time and anxiety.

The Office of Fair Trading web site states:

Inspection of records 

An owner or mortgagee (or their authorised person) can make a written request to the owners corporation to inspect the records. The request must be accompanied by the prescribed fee (currently $31 for the first hour of work).

The inspection is to take place as agreed by both parties. If no agreement can be reached within 3 days after the owners corporation receives the application, the owners corporation may stipulate the time and date by giving written notice. The inspection date cannot be later than 10 days from the date the owners corporation receives the notification.

Documents can be inspected in person or through electronic access to the documents or any other means agreed. A person may make copies of documents but must not, without the consent of the owners corporation, remove the document from the custody of the owners corporation.

I have not seen the PSBA used in these circumstances. It seems overly complicated to use the PSBA considering that you are able to access the Roll under the SSMA.