This paper explores the application of blockchain technology in enhancing the management and sharing of medical data. Traditional healthcare data management systems face challenges related to data security, privacy, and interoperability, often resulting in data fragmentation and potential security breaches. Blockchain technology offers a decentralized solution that enhances data security and privacy through immutability and the reduction of centralized risks. Our study evaluates the practicality of an RSA-Encrypted NFT framework for managing healthcare data, demonstrating its consistent performance across various data formats and its integration with the InterPlanetary File System (IPFS) for enhanced data accessibility and durability. Additionally, we conduct a comparative analysis of transaction fees on four EVM-compatible blockchain platforms to assess their economic efficiency and suitability for healthcare applications. Our findings highlight the importance of selecting blockchain solutions that balance cost with functionality to maximize value for healthcare data management.