Romanian passport, have Romanian heritage, any chance?

Have you tried contacting the Romanian embassy for guidance? That's probably where I would start!

No experience other than a couple of stories I've heard about the process taking years upon years to complete (if it ever does). They don't seem to like to issue passports unless you have ties to Romania or plan to move to Romania. They appear to be worried about handing out passports left and right to people that don't end up bringing value to Romania.

Depending on your starting point, it may or may not be worth it.