I would stick to the LF356.
output distortion is no issue due to the following Q1 and Q2.
Input distortion is low, cause the op amp sees the low impedance
of the 202 Module or the relatively low resistance of the feedback network.
So in this case the Opamp has mainly to be fast. And the LF356 ist pretty fast.
It can be , that you don't need C8, 27pF with another Opamp with
more phase margin. (Or the other way round) check stability with a square wave and load if you decide to change the amp.