This paper explores the application of blockchain technology in managing and sharing medical data, focusing on the use of Non-Fungible Tokens (NFTs) and the InterPlanetary File System (IPFS) to enhance data security, privacy, and interoperability. Traditional methods of data management in healthcare face significant challenges, including data fragmentation, security vulnerabilities, and lack of interoperability among diverse systems. Blockchain technology, with its decentralized and immutable nature, offers a robust solution to these challenges. We provide a comparative analysis of transaction fees across four Ethereum Virtual Machine (EVM)-compatible platforms—BNB Chain, Fantom, Polygon, and Celo—to assess their suitability for medical data management. The study evaluates key operations, such as initiating transactions, minting NFTs, and transferring NFTs, which are essential for the secure and efficient handling of medical records. By examining these platforms, this paper aims to identify a cost-effective blockchain solution that balances operational expenses with performance requirements. The findings contribute to the ongoing development of secure, transparent, and reliable systems for managing medical data in healthcare settings.