Welcome here, like those above the idea that medication can be essential for PTSD long-term is something I live wiht too. As far as I can see it is, for me, going to be needed for a lifetime.
That being said as there are ups and downs in my condition -and in life- my medication has to be altered to be effective, including cautiously increasing or reducing dosage when appropriate.
Relying upon an occasions visit to a psych is not quick enough for a decent response, so I regulate my intake - which my psych trusts me to do - as needed.
From what you say it is the fact your family has known that you have abused medication that gives them an unfavorable view.
Perhaps a little lateral thinking might help. Instead of seeing regulation as being the main problem perhaps having a safety plan might be reassuring for all concerned..
Beyond Blue has a free phone app called BeyondNow
Here you fill in well in advance not only the things you would expect, such as emergency contacts, but perhaps even more importantly things you can do yourself to help lessen your distress.
Now this, if done effectively, is a pretty good tool ,it is a no-brainier ot reach for it when overwhelmed.
However the hard bit is thinking of all the things that will give you relief, let you feel less isolated and have even given you a lift or enjoyment -even fun - in the past.
Now this really needs the help of someone you know and trust. They may well be able to remember matters you had forgotten, from a particular walk, to a particular song, book, person to chat with or ... well it's unlimited. You can go for anything that might help.
I've everything from visiting a cafe to YouTube clips of comedians and music, plus tons more each designed to assist in a particular situation.
If somebody does help you then there are a couple of pretty good side effects. Firstly they know you have another avenue to go down, and secondly they themselves have had a hand in it -a measure of security and control for them. (It also makes it easier to talk to then when you are in need).
Perhaps over time your family will change their rigorous thinking.
What do you think?