Final answer:
The most appropriate experimental design is to develop a molecule that interferes with the DNA-binding ability of DNA polymerase III core enzyme.
Step-by-step explanation:
The most appropriate experimental design for the scientist to explore would be to develop a molecule that interferes with the DNA-binding ability of DNA polymerase III core enzyme. DNA polymerase III is the main enzyme responsible for DNA replication in prokaryotes like Escherichia coli. By targeting this specific enzyme, the scientist can disrupt replication elongation without interfering with other replication processes.