Nickearth:

The following links are for Pro Bono (free) or low cost legal  service providers in  Texas.

The Probar project in Texas is run by the American Bar Association so it's legitimate, but, there might be rules governing whether or not they can help these Nepalese. http://www.abanet.org/publicserv/immigration/probar.shtml

http://www.usdoj.gov/eoir/probono/freelglchtTX.htm (this is a copy of the list that the DOJ officals should hand your cousin so he can call...it would be very helpful to him if you made these calls becuase these folks are difficult to contact on the first try)

http://www.aila.org/content/default.aspx?docid=20394: AILA is the American Immigration Lawyers Bar Association and they do wonderful work and have some very educated/dedicated lawyers as members so you may have some luck through them as well.

With respect to the process; I don't think the IJ will grant bond in this case even if the judge does state a amount it will be steep (i.e anywhere between $10,000 - $25,000: you post 10% of the bond amount to be released from detention)

Political Asylum is a choice, but it's a tough one as they would need to prove that they have either faced persecution in the past or are afraid to return to Nepal for fear of future persecution...it's a complicated process so make sure you speak with an attorney before they sign any papers.

Good luck !