I have two bikes for "day rides and lightweight touring". Both these bikes are faster than my Raven, which is a drop-bar "heavy build" with front and rear racks and rather similar to the Nomad, I use my Raven for camping or utility loads and when I know I will be using paths and tracks.
One "lightweight" is a Raven Sport Tour, which is basically an older version of the Mercury but with 26" wheels. Mine has drops, Rohloff, and lightweight rims. After trying narrower tyres I settled on 42 mm Marathon Supreme tyres which are a good comfort/performance compromise for me and allow mild off-tarmac riding. I started out with just a saddlebag, but added a rear rack for more versatility a few years ago.
The other is my 1977 Woodrup with Reynolds 531 tubing. Geometry is a bit more relaxed than an Audax bike, with space for 32 mm tyres and mudguards. I have Continental Grand Prix 5000 tyres in the 32 mm width, these have very low rolling resistance but are best used on good road surfaces. Derailleurs until I got fed up with cleaning them a few years ago, I now have a 5-speed hub gear. Despite the hub gear, this is still my fastest bike on rides that aren't too hilly, but I don't use it all that often. For a derailleur bike, the Thorn equivalent would probably be a second-hand Club Tour.
Here in France similar second-hand derailleur bikes come up from time to time for 50-100 euros, but Audax-type bikes and outright racing bikes are much more common. I am currently renovating an old Dawes ladies-frame lightweight with mudguard clearance limited to 28 mm tyres - too narrow to be comfortable for me but perhaps OK for a lighter (or younger) rider.