Put me down as a probable.
As mentioned up-thread, I've done a similar ride before, but not as far round the coast as Low'stoft.
I'd stay off the main roads up to Hunst'n, it could well be full of caravans on a Friday evening. NCN 1 is a good route from KL - It's a couple of miles West to Hunstanton from Ringstead.
I usually ride NCN1 east across the North of Norfolk - it's a mile or so inland from the busy A149 coast road. I'd aim to pick up the coast road somewhere around Wells-Next-Sea.
The Lord Nelson in Burnham Thorpe is the sort of pub that is usually still open at midnight and is a facinating place. but finding places open 24 hrs is a problem - even cafes that open before 9.30 is difficult.
It's a suprisingly hilly ride and on wet roads, be prepared for flinty p*nct*r*s.
If you did the route in the day, you'd be able to apreciate the scenery and do things like ride through Holkham Hall grounds - always my recommended highlight of cycling North Norfolk.