DAC to Analog Filter to ADC
You wouldn't normally do that because it isn't worth the cost (hardware.)

FIR filters get computationally very expensive if you need sharp cutoffs.

Digital IIR filters that provide the same cutoff as a long FIR are computationally very cheap.

An analog filter will be equivalent to a digital IIR.  

If an analog filter can provide the performance you need, then you are better off implementing a digital IIR filter.  It saves you the DAC/ADC parts and it saves you the mess of an additional analog section with its inherent instabilities and potential to pickup noise.

If the digital IIR that can provide the performance you need is unstable, then it is very likely that the equivalent analog filter will also be very difficult to make work correctly.