there’s still not really sd cards or flash drives bigger than 1tb

There are actually 2tb microSD cards now, and 4tb flash drives

So rent a budget VPS and tunnel your home server through it?

Why rent? If you have fiber and aren’t behind CGNAT you can host from your home

5TB requires you to be a company??? My personal NAS already has 92TB

You know this is more than enough reason to fire you once your IT department finds out