Current transformer as Sensor, can it sense rectified DC current?
If you can't put it before the rectifier try this: -



Shown are Current Transformer 1 (CT1), Current Transformer 2 (CT2) and a bridge rectifier.

CT1 is the conventional position for measuring current BUT if you can put two wires through CT2 from the top two diodes shown you will also get the AC measurement. Note the reverse direction the 2nd diode from the top feeds CT2 compared to how the top diode feeds it.

No, DC cannot be measured by a current transformer but if you alternate the DC pulses of current going into the load as shown (by reversing the 2nd diodes current direction through the toroid) then you are feeding it AC current.