You'll get through this. I don't know if bankruptcy is the best option for you, but don't be ashamed: many companies go bankrupt every day. It's how the economy keeps working. And your debts are (most probably

) nothing compared to that of most companies.
I don't know the regime when you apply for bankruptcy in the US, what the negatives are for you personally, but in the greater scheme of things it means nothing to the economy, like a drop of water in an ocean. It allows you to pay back by your productivity or what you add to the overall productivity of all in society. Could be anything: caring for someone, buying stuff, some charity, paid or unpaid work. Pretty much anything.
No need for any feelings of guilt. Those that feel none maybe should, some bankers or politicians, but not you, not us.