Usually, it is not a good idea to do the simulation with setting as in your figure.
The problem is how do you set the operation points of the Amp and initial state
(or charge)in the caps.
My advice is that do the simulation in a whole phase according to you application.
For example:
If you were design a SC circuits(e.g a pipeline-ADC), you'd better do the simulation for
a sampling phase and the following holding phase, which means you should do the
simulation with clock signals and switches.