There are many ways to skin a cat.
If the GMA is only concerned about getting 3 HKG returns a month without incurring overtime, he could open a JFK base, but offer it on a lower salary than say LAX/ SFO, such that the salary plus overtime on the JFK base equals the non -overtime salary of the LAX/SFO base. Bottom line, everyone does 3 HKG returns and gets the same amount in their pay packet.
If that package is not attractive to the individual pilots, don't take the Base. The AOA should be happy that everyone remains on the overtime threshold.
Obviously, the person not happy with this solution is the GMA, because we all know this has nothing to do with making the JFK base work, and everything to do with lowering the not insignificant overtime bill caused by his predecessors' inability to offer a package to attract and retain sufficient pilots.