Kingspan Tek Haus is a sort of middle ground:
http://www.kingspantek.co.uk/
The frame comprises SIPS (structurally insulated panels) which are made off site, and go together very quickly on site, you can have a watertight structure in 2 days, easily. The SIPS are normally used for all the wall panels, and the roof, usually with posi or similar floor cassettes. They literally assemble it all, wrap it in membrane, windows and doors in, fist phase complete.
Panels are already insulated, reducing waste, and saving someone the god awful job of cutting insulation. Best option is to clad them in my opinion (planners seem to be divided on this), but you can brick around them I believe.
Edit 1: I’m a building inspector by the way, and would have a SIPS house, but probably wouldn’t have a modern timber frame, or most masonry houses I see built, for myself. Not only on quality/long term maintenance, but also performance. Meeting minimum standards is one thing………
Edit 2: With a specialist system, you get specialist labour, which may be expensive, but is worthwhile, a lot of skills are being lost from the construction industry, not saying houses now are bad, but traditional construction and a lot of the detailing required to meet current energy efficiency requirements leave a lot to be desired.