I don’t know what your data looks like, whether it’s just transactional or a combination of transactional and raw server/app logs. You could ETL the raw logs into an RDBMS like Postgres but you have to worry about maintaining it though and it doesn’t sound like you have enough resources for that. To do that you need help from IT/ops to set up a replica of the live server so it can be queried without disrupting transactional operations and then write ETL code or use a service like Stitch or Panoply.
You can also use a cloud platform like Google BigQuery or AWS Redshift to dump raw data in and then create views and table extracts for all the commonly used business functions. That’s still overkill though and a simple RDBMS should suffice.
And if you want to raise awareness see this article by StichFix and the HN comments https://news.ycombinator.com/item?id=11312243