Hello, the needle gauge going so high does not necessarily indicate the need for a thermostat. You could have several other causes. A thermostat can be one of them. Testing should really be performed to find out what has failed on your vehicle before rushing to replace components that may or may not address the problem.
Here are some shops local to you that may be able to help:
https://repairpal.com/repair-shops/toyota-repair-and-service-in-hampton-georgia
RepairPal Certified shops can diagnose and repair your 1992 Toyota Camry. They provide transparent pricing with a minimum 12-month or 12,000-mile warranty on repairs and services.