At your risk, blah, blah, blah and all that.
I have had moderate success with H2O2 in converting S- to SO4--, However, I was working with H2S. You may be able to use it with CdS with some modifications. Perhaps a cold finger reflux with neutral H2O2. (H2O2 nasty at 30%)
Combustion in an oxygen bomb with paper pulp as a support has also worked well for me in converting all S to SO4 for total sulfur determinations. Place a few ml of NaOH sol'n in the bomb as an absorber. If you have access to a bomb contact its manufacturer for ideas. I’d try 0.1g CdS and 0.5 g paper in the thimble.