I would suggest you Google "copay assistance program for Enbrel". You should see different options, I can't help with which are right for you. Amgen makes Enbrel and there are programs to help. You might have to do some legwork on your end but it might be worth it. You might also ask the doctor who prescribed it.
Fortunately, I have insurance which covers 70%, Enbrel covers the rest through a copay assistance program for private insurance. It did take several weeks to line everything up before I received my first delivery.
Good luck!

I am not on Enbrel, but from what I understand typically the drug manufacturers are the ones to offer discounts. So maybe Pfizer? Your dermatologist should be able to steer you in the right direction? Good luck, hope you find the answers.