I found some information that may indicate that association libraries which charge patrons for faxes should collect sales tax.
Answer
There's a lot going on in this question, so I am going to be less fun and flowery[1] than usual as I answer it.
I am sorry to report that per NY Tax Law Section 1105(b), an association library must collect sales tax on sales of facsimile services for faxes sent and received within the state.[2]
