The pilot reported that, during the landing flare, as the main landing gear touched down, he saw three deer run across the runway from the right to the left and "directly under the plane." He added power and increased pitch for a go around but was not able to clear the animals. He heard and felt an impact under the airplane. He looked at the left engine mirror and observed the nose landing gear "dangling". He decided to abort the go around, so he reduced power and landed back on the runway. The nose landing gear collapsed. The airplane sustained substantial damage to the fuselage. The pilot reported that there were no preaccident mechanical failures or malfunctions with the airplane that would have precluded normal operation. The Federal Aviation Administration Airport Facility Directory page for the accident airport, in part, stated: "Deer on and [in vicinity of] airport."