Implement a custom tagging system for each model and version on AI Platform, explicitly linking them to the corresponding BigQuery table names used for training.

Create and maintain a separate lookup table within BigQuery that manually maps table descriptions to their respective table IDs, then query this lookup table to find the needed table ID.

Run a comprehensive query in BigQuery utilizing the INFORMATION_SCHEMA metadata tables to list all table names in your project, then manually sift through the results to locate the desired table.

Leverage Google Cloud's Data Catalog to perform a keyword-based search across all BigQuery datasets, utilizing the detailed table descriptions to quickly pinpoint the relevant table.