Since the launch of Bitcoin in 2008, blockchain technology has enjoyed increasing popularity, and many implementations have followed. Some of these efforts go beyond cryptocurrencies as they aim at organizational and business innovation in supply chains, healthcare, agri-food, large-scale distribution, and public administration. Consequently, there is a great demand for projects that use blockchains for solutions that meet specific business objectives, and the problem has arisen of finding the most appropriate blockchain technology for the project needs. In a previous study, Garriga et al. proposed a methodology that exposes the interplay between technological decisions (such as consensus protocols and support for smart contracts) and architectural features (such as cost and decentralization) for the most popular public blockchains to support blockchain stakeholders to identify an adequate blockchain implementation for their business needs. This work aims at making a step further up by extending the framework to private and consortium blockchains with a focus on HyperLedger, the leading software ecosystem in support of the collaborative development of customized distributed ledgers. We showcase our extended methodology through four real-world case studies based on the most relevant Hyperledger distributed ledgers.