Usually I would be advocating this sort of KISS approach to it - we want to get to FUN 6D at around 1000ft ready to turn. So long as we don't need to break cloud, I'd agree self positioning to that point at the end of the downwind leg, using a nice CDA and efficient speeds and configs would be a simpler way to do things than attempting to nail this 3 degree NPA only to level off with drag out.
The problem at FNC is that one cannot see what is happening on that side of the Island. A lot of traffic comes from the North - DEGUN and NAVIX and so they'll never get a good view of the weather until the MAPt. The speed at which the weather develops there is also not to be underestimated. A 30 minute old METAR reporting CAVOK could quite easily become 3000m in +SHRA by the time the next one is due.