Drop a Gotoh OFR, or schaller FR in there and you won't have as many problems...
I've had problems like that with the licensed floyds i've had, my schallers and Gotoh are solid.
Zero string snaps etc...
Too many people base thier dislike for FR vibrato's on cheap cr@p one's...
The Gotoh is as good as an OFR Imo/experience smoother feeling too...
The ZR's are fantastic, I plan to get an S 520 EX myself as they are so stable with the zero point system...
My Maverick lfr has been giving me trouble if I don't sell it i'll get a gotoh FR for it...