Cessna added a drooped leading edge to the outboard wing panels in 1973 which gave the underside of the wing some undercamber just aft of the leading edge. That change which Cessna called the "Camber-lift" wing made the 172 almost idiot proof. Very docile stall and nearly impossible to spin.
The doctor has no say over your privilege to exercise BasicMed option. However, you would need to obtain a Class III FAA medical at least one time before you could proceed. If I wanted to go that route I'd contact Individual Assistance - AMAS and ask how to proceed. The initial consult is $70...
according to FAA JO 8130.2J, the FAA has carte blanche on what to inspect as the reg 21.193(c) is cited which says:
“c) Upon inspection of the aircraft, any pertinent information found necessary by the FAA to safeguard the general public.”
WRT physical inspection of the aircraft:
FAA AIRCRAFT INSPECTION FOR AMATEUR BUILT CERTIFICATION
The FAA will arrange with the applicant to make the aircraft available for inspection to determine, at a minimum, the following:
- The ID plate meets the requirements of FAR 45.11(a), as...