You can chroma key the chord sheet,
in the Render dialog set it to scroll ahead
now when you put the the rendered chord sheet video in Reaper or another free video editor app you can crop it so it only shows the first 2 rows of bars,
in Karafun set the lyric position down a bit to allow for the 2 rows of BB chords.
You can actually have another video Track in KaraFun layered behind the lyrics so you could use the cropped down to 2 rows chord sheet video and set it up the top or down the bottom of KaraFun's lyrics.
So you will have the chord sheet highlight timing and the lyrics highlight timing.