I had the same issue the other day. Finally cut the black ENO lines on my hammock and just passed the biner through the hem. Problem was that it added about 6-8 inches to my ridgeline length. I just tied an alpine knot in the middle of the ridgeline. Doesn't effect the strength, and now I have a handy little loop in the middle for hanging crap.
"Oh, like an Afghan Warlord"