Dave,
Everyone seems to like doing models and paintings of the wartime aircraft in the colours of famous aces. If you're working in the post-war period, why not do up a JN-4C in the post-war colour of an ace (or two)?
The American subsidiary to Bishop-Barker Aeroplanes Limited (BBAL) - the Inter-Allied Aircraft Company put their mark on a number of JN-4s (ref. p. 169 in the new edition of Wayne Ralph's excellent bio, 'Barker, VC'). A handful of 'Canucks' built by Canadian Aeroplanes Limited of Toronto survive to this day in the US. I would wager that a good proportion of these were first imported by BBAL.
Alternatively, why not do one of the Canucks that participated in the 1919 Toronto-New York air race? Some of these were fairly attractive, and are tied to a historic (and relatively well photographed) event. Plus, you have the added bonus that when you're done, the Jenny would look perfect sitting next to a D.VII done up with Barker's race number. And heck, you could even race them
Cheers,