Frivolity is as based on Esperance as a Boeing 747 is based on a Tiger Moth! I wouldn't go that route in research.
It's a few months since I was on Esperance, but as I work on an 1859 steam yacht rebuilt in the same manner as she was originally built I can offer this;
The traditional way of plating lake boats is joggled frames and plate seams overlapping on the horizontal. Verticals meet on frames, or have butt blocks if not possible to meet in a frame.
A solid plate keel, stem and deadwood of around 3/4" was laid first. Plates of around 1/8"-3/16" were most common, Esperance being plated in Wrought Iron on Iron angle frames, with iron 'T' floors, with plate joining the vertical faces of the floors to the frames with limber hole straddling the keel. The plates were drawn onto the stem post forward to create a 1" thick structural member, riveted through plate-stem-plate.
All rivets would be flush on the outside, drawn into countersinks.
I might be able to help with any photos or extra details you may require, and I recommend you purchase G. Pattinson's 'The Great Age of Steam on Windermere' which has lots of details of Windermere steamboats.
You can pick a harder model at your scale, but not many- the platework around the sterntubes is simply a work of art- T.B Seath's was one of the best Iron/Steel boatbuilding yards in the world, and many of their boats are still giving sterling service, many in largely original condition.
Greg