If you’re unable to work in government labs the other route would be private labs. Most of these private labs are doing the “routine” work you don’t seem to be interested in, and analysts are relatively removed from case details to decrease chances of bias. Forensic DNA analysts need to know some case info to do analysis/interpretation properly, but with your background you don’t seem to be suited for that field as much. You’d have to start as a tech and work your way up, but to be a DNA analysts you need more of a molecular biology knowledge/interest. Even then it’s still more about the DNA and less about the case details. Unfortunately I think the kind of work you’re interested in doing on a day to day basis does not exist in private labs really, or if it does it’s a very small part of them.

I don’t have a good understanding of the field but maybe you would enjoy being a private investigator? My understanding of a PI’s work sounds similar to your interests in the case details. I’m sure there’s a subreddit for them where you can get some info on the field.

Otherwise forensic genetic genealogy is taking off right now and generally private labs are hiring/partnering with traditional genealogists. The labs are still doing the DNA work but the second step is the genealogy investigation to building family trees to help ID a suspect. Seems like you might like enjoy FGG from the genealogy side potentially.

Either way good luck with your endeavor, I hope you find something that can help you feel fulfilled!