I was the AD8599 in both my Philips and Marantz CD players and love the sound.
I have recently rebuilt my Technics SU-V9, some old capacitors gave out.
Would the AD8599 suit this circuit in the phonostage section of the amplifier ? 17+/- voltage rails
as far as the voltage is concern, I don't see any issue for you to use the AD8599 since the ABS max of the device is +/-18v.
one this to consider is where you will connect the AD8599 in your circuit, please make sure that the input does not go beyond that IVR range.