The Belle II experiment at the SuperKEKB accelerator is a next-generation B-factory aiming to collect 50 ab, about 50 times the data collected at Belle, to study rare processes and make precision measurements that may expose physics beyond the Standard Model. Corresponding to roughly 100 PB of storage for raw data, plus dozens of PBs per year for Monte Carlo (MC) and analysis data, these massive samples require careful planning for the storage, processing, and analysis of data. This white paper notes some of the challenges that await grid-based user-analysis at the intensity frontier and invites further discussion and exploration to improve the tools and techniques necessary to leverage the massive data samples that will be available at Belle II as part of the Snowmass process.