A pilot on short final to a non-towered airport reported an NMAC with an aircraft departing the opposite direction runway not communicating on CTAF.

Narrative

On the afternoon of DATE. I was the PIC of Aircraft X; designed and purpose built for aerobatic flight and training. The flight originated out of the ZZZ; under VFR Flight regulations; to the ZZZ1. The flight was a pleasure flight to attend a 'Fly-In' lunch as sponsored by NAME; who is a resident on the north side of the field with a home and a hanger with access to Runway XX. The flight in questions was a pleasure flight giving a ride (not for compensation) for a long time friend who is also a resident of the community of the airpark side of the airport and who is also a pilot with thousands of hours of tailwheel time was the passenger who went along for the flight. We departed Runway XY; and the departure was straight out; and to the south and east near the ridge basin just north and west of the ZZZ2 by about 8 miles. Here at an altitude of approximately 5500 ft. we practiced some basic maneuvers for approximately 20 minutes; both occupants had appropriately packed parachutes on their persons. Upon return to the field; we announced our intentions to return and to use Runway XZ; as there was no wind; and no observed traffic; we made our intentions known via radio call on 122.700 via the onboard Garmin GNS430 (Com 1). We approached from the east at about 2500 ft. as there is some terrain and proceeded in at this altitude; for which we made another call at about 4 miles out announcing our intentions for landing on Runway XZ; we listened for any incoming traffic; and none was observed. We chose Runway XZ as this allowed us to go straight to the fly in community and park so we could exit and enjoy some food and NAME could return to his home. As we turned base; we made another radio call and proceeded at an angle with a wing dipped down allowing visibility out of the canopy (it has a really long nose; and it is nearly impossible to make straight in approaches with good visibility). We made our last announcement for final at about 2 miles out and 110 knots Speed and proceeded in to land. Once we were almost to touch down on Runway XZ; we noticed the black profile of another aircraft at the landing end of Runway XY; at possibly 200-300 feet. We could not tell if it was landing or taking off. As the ZZZ1 is in a trough with trees on both sides and ridges; we had not the luxury to go right or left and abort; but to either climb out of go straight under. We pushed throttle forward; and continued as low as possible to clear the aircraft as it did not descend. There was at least 200 feet or more of clearance under the aircraft when we passed under it at almost the touchdown zone of the runway. Again; we elected to go underneath due to the terrain; and when you pull up in the Extra; there is no visibility of the area in front of you. but only that above you; I feared we would lose visual contact with the other aircraft. No collision or danger was incurred; and upon clearing the aircraft; we re-entered the pattern and proceeded to go-around to perform a clearing turn to verify no aircraft where present; we made calls for our location and entered a downwind for Runway XY; we proceed in the pattern with radio calls and landed on Runway XY without incident; we parked and excited the aircraft. I departed ZZZ1 Airport at about XA:30 local and flew direct to ZZZ where the aircraft is based. Note: We did finally make two-way communication with the other aircraft after it passed over our head and it departed going south.