One reader suggest using an intermediate section of Amsteel to kind of taper the splice. This allows the StaSet outer braid to be buried into a larger Amsteel. Then do an end for end splice between the two Amsteel sections. I have not done this myself as I prefer the full length Amsteel with the Tenex cover. There the splice does not enter into the strength as the core is full length. Tenex (only use white) is very nice on the hands and doesn't snag like Regatta Braid.
This page has all three halyard variations.
You really do not want to let go of a tapered halyard.
Allen
L-36,com