Amsteel Halyard splice to shackle

[allene]

I am working on a halyard using 1/4 amsteel blue on the top half. I want to provide a cover over the last foot or two where the shackle is. I plan on using the cover off 7/16 double braid for this. I also want to splice to the shackle and have this cover provide some relief for the shackle splice.

I am thinking I will insert the down end of the cover into the core (about a foot from the eye). The other end has me perplexed.

I can imagine just putting the cover over the amsteel and doing an eye splice like this: http://www.samsonrope.com/site_files/12S_C2_EyeSpl.pdf but inserting both braids inside the amsteel core.

Or, I could treat it like double braid and do a traditional double braid eye splice. This cover should have some strength and the amsteel is stronger than a traditional double braid core but I fear there is some reason I don't know about that makes this a bad idea.

Anyone know the correct way to accomplish this?

Allen