travel document - reentry permit - how long is the process till i receive the passport?

Actually, the recent poster is applying for an Refugee Travel Document, not Reentry Permit, unlike the original thread. They may be a refugee/asylee due to fear of their country, so using their country's passport would jeopardize their asylum.
 
If one has already gone through fingerprinting and photographs, Is it Ok to leave the country and have someone mail the "reentry permit"?

Thanks,
 
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