Re-read SGC's rules. I don't think you would get a Permit to Fly for that and then there's obtaining the JP-7 fuel and the dedicated fleet of KC-135 tankers to go with it.
For me, after many flights of fantasy, it always comes back to the Avro 504. The aircraft that both my grandfathers learned to fly in the RNAS during WWI.
In keeping with the rules, I'll forgo the "common" 504K and build the now extinct 504J. It was in a J that my maternal grandfather had a flight that is recorded in his log book as "forced landing", but his photo album showed a sad-looking aircraft in a ditch by a hedge, labelled "My Crash".
The label was to distinguish it from many other crashed Avros and Maurice Farmans labelled with the pilot's name and all too often "(killed)".
Nearly half his class from RNC Woolwich were killed during training.