Pretty sure you can travel outside or Nepal and no one will stop you. However it can be very risky doing so on Asylum. Read this
https://immigration-law.freeadvice.com/immigration-law/asylum/leaving_US_appeal.htm
You can ask you family to apply tourist visa at least try if that works.
But if nothing happens, go home, see your family..if worst come you cannot be back ..but you still have your health to carry on.