One way you could tweak the fit of this bicycle is to have a new stem made. Any good framebuilder could copy that style. Of course the original stem was made so it is level but it could be angled up just a bit. And the length could be altered so your seat and handlebars are in the perfect position for you. And the new one could be painted to match.
This style of bicycle was made to ride comfortably not win a race. Most likely that means a slightly higher handlebar position.