The first Big Beautiful Doll belonged to Landers when he flew with the 357th FG. Later he transferred to the 78th where the black and white checkerboard was standard fare.
Duxford's Big Beautiful Doll is spot-on accurate to the original. Duxford researches the blazes out of a scheme before they apply it.

Try this
website for an accurate scale model, with lots of photos, like this one...
For the 31st FG, go
here. 

My regards,
Widewing