I say this often - talk to the Army - they are so much bigger than the Navy and they are always looking for Cyber folks.
My bet is - you have a much better shot wiggling into the Army with something that the Navy might not be willing to over look than you might imagine.
I'm Navy for life likely - I'd jump ship for the right gig - but I will candidly confess that I find the Army more accepting and easier to work with than the Navy.
One person can be enough to get an unfavorable pre-screen but it doesn't mean you have to give up if you are actually clean. The other folks you mention could be connected to things that make it tricky for you - I don't think that's fair but it happens and I get why it would be a red flag.