Build the compensation network from the ground up.
C3 and R3 should be tied to ground IMO
Get rid of C2 during testing, put it back in if the circuit needs it.
Just because the manufacture says to use a type III loop doesn't mean you need it.
Surface mounted components may dictate it's use, I don't know.
What is the bandwidth of the controller?
Back in the day when I was building buck regulators with 2n2222 transistors driving IRFZ46 mosfets and a KA7500 out of a PS, the bandwidth of any part of the system wasn't that much higher than the switching frequency, and I didn't have any instability with simpler loops, although the gain was far below what it should have been.