With MnO2 you will get normally quantitative yield in a 200mg batch. Try refluxing in dichloromethane. 10 equiv will surely do the job. The quality of MnO2 is also important. I recommend MnO2 "very active" available from Merck.
From another forum:
"The "active" MnO2 used for the selective oxidation of unsaturated alcohols is normally prepared by reaction of manganese sulfate with NaOH in hot water. This results in a precipitate of MnO2, that is filtered, washed with plenty of water and dried. Minor modifications of this procedure lead to MnO2 possessing diverse activity. For example, optimum activity results from drying at 105-125 ºC during 2-3 days. Interestingly, while water, and polar solvents, are known to hinder MnO2 oxidations, over-drying of MnO2 results in less active material. In fact, a greater activity is found in MnO2 possessing 4-8% of water. See, Quat.Rev. 61 (1959)."