In the past I've thought about a variant on "gluckhaus" or dominoes. Another thought occurred to me: what about monopoly tokens? After all, a standard monopoly set has nine. I wonder how they'd match up to the mechanical arts. As a refresher... The first three are the same or similar. The last four vary with some overlap.
Johannes Scotus Eriugena
Vestiaria (tailoring, weaving)
Architectura (architecture, masonry)
Militia and venatoria (warfare and hunting, "martial arts")
Mercatura (trade, commerce)
Metallaria (blacksmithing, metallurgy)
Hugh of St Victor
Militia and venatoria
Rudulphus de Campo Longo
ars lanificaria—the art of dressing people
ars architectura—the art of providing shelter
ars militaria—the art of defence against an enemy
ars negotiatoria—the skill of trading goods
ars victuaria—the art of feeding people
ars suffragatoria—the art of means of transport
ars medicinaria—the art of healing
Thimble - Vestiaria
Howitzer - Metallaria/Smithing
Horseback - Militia/Hunting?
Scottie Dog - Agriculture
Shoe - Transportation
Top Hat - Commerce
That leaves three, the Battleship, Racecar, and Iron. Obviously the iron would work well for vestiaria, but that would displace the even-better thimble (except perhaps for surgery).
I'm not sure that this is the best match-up either but it was interesting to think about.