I fly and instruct in an experimental gyroplane (The Predator} out of Santa Maria, CA.
I have not had a challenge finding people to do an annual condition inspection near me.
Because I am a flight instructor I also have to have 100 hour inspections in addition to annual condition inspections..
Any Airframe and Power plant mechanic (A&P) can sign off your condition inspection.
Check with your local Experimental Aircraft Association (EAA) chapter for contacts.
In my experience it has been more of a challenge to find a good mechanic who understands rotorcraft that will do a proper condition inspection.
I have found things missed in client's condition inspections that could have killed us.
It is my experience that doing a proper job takes at least eight hours for most gyroplanes.
It took eleven hours to do a Cavalon.
In my experience the sign off looks like this.
“I certify that this aircraft has been inspected on________ in accordance with the scope and detail of appendix D part 43 and was found to be in a condition for safe operation.”
The entry will include the aircraft Total time in service and name and signature, and certificate type and number of the person performing the inspection.
Appendix D part 43 can be found here.
https://www.ecfr.gov/current/title-14/chapter-I/subchapter-C/part-43
I feel it is useful guide despite specifically not applying to aircraft with experimental aircraft registrations.
Be sure your transponder has been certified in the preceding 24 months.