Perhaps the Canon imagePROGRAF PRO-1000. In the User Manual (page 111), it states that plain paper can only be up to 105 g/m^2 (28 lb). But Specialty paper can be up to 300 g/m^2 (80 lb).
The less expensive PRO-series models have the same 105 g/m^2 restriction for plain paper and for 300 g/m^2, it puts that in the "Photo Paper" category.
So I think part of this will depend upon what your cardstock is treated as (plain vs photo/specialty).
Note that I didn't look at less expensive Inkjet (e.g. Pixma) or laser printers. Assuming you want a very high quality inkjet in this case.
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Ricky
Camera: EOS 5D IV, EF 50mm f/1.2L, EF 135mm f/2L
Lighting: Profoto Lights & Modifiers
