Thanks for the informative reply to my question.
In order to make sure I understand your suggestions I looked at your website (very informative too!) and searched for the following online: "constrictor splice" and "yale loop" splice. Unfortunately I could not find any other references to these that applied to the hollow braid dyneema type rope. Do you have a suggestion for a book or other reference that would help me with these?
Finally, after the constrictor splice is made around the ring, instead of finishing it with a bury splice and making an eye splice on the end of the end of the remaining line (http://www.neropes.com/Splicing%20Guide%20Individual%20Splices/Single_Braid%20Eye_Splice%20_Brummell.pdf), could the line from one side be passed through the other to achieve the desired throat angle and then join the two ends with an end-to-end splice? (http://www.neropes.com/Splicing%20Guide%20Individual%20Splices/12_Strand_Single_Braid_End_For_End_Bury.pdf)
Thanks for your help,