hey
I did disconnected my earth ground lead and the SMPS works , but gave me nasty shocks when touched the 12V line . please be careful and use Y caps from the - + to the ground , and open your SMPS and check for any cap between the 12V side and mains side , if you didn't found , you should be concerned since they sometimes apply some winding and earthing it and using the capacitance between the windings as capacitor , so you should un-wind that single winding ot tracing it down and de solder that tap ,
good luck and hope to see updating on that because me and other can help you ,
P.s what's the project ? shear it with us
Cheers !