You may have some terminology problems here, or perhapse aircraft components use significantly different terms than those used in general industrial equipment. In industry, a Circuit Breaker is a protective, switching and fault isolation device. It has elements that monitor current, and open the disconnecting means (contacts) under over current and / or short circuit conditions. When open, a Circuit Breaker is also providing isolation of the load from line potential.
Solid State Power Controllers are methods of providing regulated control of power, either by zero-cross switching or phase-angle control, but do not necessarily contain protective circuitry. Solid state also is not generally considered an acceptable means of off-state isolation because they have leakage potential. Why don't you describe what you intend to do so we can get around your use of terminology that may be confusing.
"Venditori de oleum-vipera non vigere excordis populi"