First off, based on the information your provided it doesn't sound like it's an actual defined "aircraft accident" therefore notification to the FAA may not be required.

Look up CFR Part 830, subpart A definition of an "Aircraft accident means an occurrence associated with the operation of an aircraft which takes place between the time any person boards the aircraft with the intention of flight and all such persons have disembarked, and in which any person suffers death or serious injury, or in which the aircraft receives substantial damage. For purposes of this part, the definition of “aircraft accident” includes “unmanned aircraft accident,” as defined herein.

With that said, define "Substantial damage." Substantial damage means damage or failure which adversely affects the structural strength, performance, or flight characteristics of the aircraft, and which would normally require major repair or replacement of the affected component. Engine failure or damage limited to an engine if only one engine fails or is damaged, bent fairings or cowling, dented skin, small punctured holes in the skin or fabric, ground damage to rotor or propeller blades, and damage to landing gear, wheels, tires, flaps, engine accessories, brakes, or wingtips are not considered “substantial damage” for the purpose of this part.

So with that said, was the damage to the landing gear resulting in $20000 worth of damage, if so it wouldn't be defined as a "accident." The limit of damages for Immediate notification according to Subpart B is $25000 (to include materials and labor). Therefore it's not an immediate reportable event as long as the damages truly are $20k.

Now as far as any ride you may have to take, I don't know. But from the information you provided it doesn't sound like a "aircraft accident" according the CFR Part 830.