@Diomedon raised a good point there, that embossing Viserys face on coinage is a good source of legitimacy for our rule, since everyone else is doing the same.
In regards to art, I'm with you, hence the backside of each coin in my proposal being reserved for artistic scenes. We could also mint shillings that depict various people living in the Empire in addition to the trade themed ones. The reason I've put a denomination on the face side is that the backside has more leeway and that we can have different designs for the same coin.
The idea with the constitution is pretty great though. Maybe a large batch of commemorative coins to be released next year on the anniversary of the SD conquest? Print the main articles on the back of a Gold Dragon and the sub-clauses on Silver Cities and Silver Legions. Then you can indeed assemble the whole constitution from your money and it's still large enough to be easily read.