I have seen one video of a Phantom lifting a DSLR but it was way too heavy and a big risk to camera and bird. The Canon SL1 with the 40mm pancake lens would be much lighter, 537 g. The 5D mark 2 is 1068 g with the same lens.
Several user shave had good success with the Sony RX100, a 20mp compact with a 1" sensor.