Here is a link to the Code requirements for a "Public bathing place" in PA...
Information included at this site has been derived directly from the Pennsylvania Code, the Commonwealth's official publication of rules and regulations and from the Pennsylvania Bulletin, the Commonwealth's official gazette for information and rulemaking
www.pacodeandbulletin.gov
This is how they define a public bathing place in the Code. (It appears that your HOA pool comes under this definition.)
Public bathing place—An outdoor or indoor place used for amateur, professional or recreative swimming or bathing whether or not a fee is charged for admission or for the use of the place, exclusive of a bathing place at a private, single-family residence which is used solely by the owner of the residence, his family and their personal guests.
....and here are the requirements for disinfection of pool water.
§ 18.29. Disinfection of pool water.
(a) When chlorine or a hypochlorite compound is used for disinfection, the free chlorine residual in the water in all parts of the pool when in use shall be at least 0.4 milligram per liter and the pH value of the water shall be at least 7.2 and not more than 8.2.
(b) Other disinfecting materials or methods may be used after approval by the Department when they have been adequately demonstrated to:
(1) Provide a satisfactory residual effect which is easily measured.
(2) Work as effectively as the chlorine concentrations required by subsection (a).
(3) Create no danger to public health, create no objectionable physiological effects, or impart no toxic properties to the water.
(c) Testing kits shall be provided for making the necessary tests for residual disinfection and pH. The kit for disinfectant residual shall be accurate within 0.1 milligram per liter of chlorine or equivalent. The pH kit shall be accurate within 0.2 pH units. When the pool is in use tests shall be made at least twice daily or more often if required by the Department.
These regulations seem pretty flexible. I didn't see anything that places a limit on CYA or FC levels, so you should be able to maintain the pool at what TFP considers ideal FC/CYA ratios. However, if you are using tri-chlor tabs it is going to be difficult to keep CYA in check as the season progresses and you are going to need to backwash frequently and/or partially drain the pool periodically in order to eliminate the CYA that the trichlor tabs will be adding to your pool regularly.