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I've l;ooked at both as possible stand-ins but come to a stop when i think of a coachman
A bit of Greenstuff would convert that Warlord Roman driver into a medieval driver I think?
I think this could be interesting for you, it is a fantastic §D-Print-Collection: https://3dprintterrain.myshopify.com/collections/medieval/products/medieval-timesHere are some Wagons:
As that is a Hussite style War Wagon that would take quite some converting to make it look luxurious. Having said that a conversion of some description is the way you might have to go. Off the top of my head I can't think of any company that makes specific wagons of the type you mean. I even had a scan through the Mirliton site, who do a lot of 28mm Medieval dioramas but to no avail