Drain rice, put in heat-proof dish—a good-size pie plate is good. Improvise a steamer: In a pot big enough that pie plate would fit with 1” space all around, place a 5” tall heatproof bowl. Pour water into the bowl, continue filling water to 4-5”. Bring water to boil and carefully lower rice plate onto inner bowl. (Or place pie plate in Chinese steamer, wide enough for steam to rise around the plate.)
Steam for 45 minutes, till a chewed kernel has no tough center.
Remove rice, put in saucepan, add coconut milk, dried coconut, and sugar. Bring mixture to a simmer and, on low heat, stirring cook till coconut milk is absorbed.