No, you certainly wouldn't be limited to using the propellers approved for the Culver LFA, and I don't think you'd be limited to using certified propellers either. The diameter and pitch (static RPM) requirements wouldn't apply either. There would probably be a maximum diameter appropriate to the Fisher Celebrity.
With a metal or composite prop, you should probably check with the propeller manufacturer to make sure the specific prop won't have any undesirable harmonic resonance characteristics in combination with the 90 hp Franklin.