DA-62 pilot reported a right main landing gear malfunction during the takeoff roll; and a prop strike occurred. The pilot continued the takeoff; retracted the landing gear; then decided to land on the remaining runway with the gear in transit. The aircraft sustained damage and the pilot evacuated without injury.

Narrative

On the morning of Day 0 I flew Aircraft X from ZZZ1 to ZZZ with a normal landing at ZZZ. During my taxi from the runway to the FBO the gear unsafe light illuminated as well as three green lights. Before shutting down I troubleshot the unsafe light by confirming the gear handle was in the down and locked position and the emergency gear extension was stowed. Upon exiting the plane; I did a post flight inspection and visually inspected each squat switch and gear found nothing to be wrong. I cycled the electric master on and the red gear unsafe light was out and 3 green lights remained. After doing one last check of everything I taxied out to Runway XXL with all systems functioning normal. On take-off roll after applying full power I checked all systems and found nothing to be wrong. I called out 65 knots; then 70 knots. At about 75 knots just before rotation we felt a bump or dip and then the right main gear give out causing the right wing to dip and prop hitting the ground. Since; we were at rotation speed by this time I rotated; flew in ground affect for a second and instinctively put the gear up. With the gear in transit and flying in ground affect; I looked up and noticed plenty of runway left and felt the safest solution was to put the aircraft down on the runway. I decided it was best to put the airplane on its belly even though the gear was still in transit. Once we came to a complete stop on the right side of the runway; we shut the engines down and exited the aircraft without any injury; or harm to airport property.