If they are this as big as a ping pong ball as u said then she will more than likely ovulate. It would be a wast of the animals reserves not to put a male in with here. If drops a cluth of infertile eggs then that female has lost more than 1/3 of her body weight for no good reason. If she ovulates and there is no fresh sperm to fertilise the eggs then she will still drop a clutch of sluggs