Take this with a grain of salt because I have no experience, but it seems to me that the BVC coil designs have a really long lead running from the top of the coil, which I suspect turns into a hot leg when you apply current to it. Might have more success (and way more annoyance) using a res-no res join.
Have you thought of getting some NR-R-NR wire? I saw one video where they rebuilt a BVC coil, and he noticed the center of the coil gets hot, but there was an area where it switched to NR wire.