The problem is not inkjet printers.  They can print on glossy surfaces
such as transparencies and photo paper.  It may be you need to select
different card stock or you may need to select a different media in
your print software.

If you are running MS Windows, select Print from your application which
should display a Print window.  Select Properties --> Paper/Quality.
Somewhere there should be a Media drop-down list.  Display it by
clicking on the downward pointing triangle to the right and select an
appropriate media.  My cheap $39 Lexmark Z23 gives me the choice of
Transparency, Glossy Paper, and Coated Paper among others.  Also,
consider drying time.  I've seen some manufacturers recommend up to
15 minutes for photos.

I don't know what 1 mm card stock is.  It's 25 sheets to an inch but
I still can't picture how thick that is.  I'm used to card stocks being
described in pounds per ream, as in 110 lb. card stock.  A business card
is usually 80-100 lb.

You may want to explore a more suitable card stock if that is an option
at a web site like http://www.paper.com/

An option for creating book music is a laser engraver.  A local
sign maker or print shop probably has one.  Some cost about 6-10,000 USD
and act just like a Windows printer.  They would be able to cut the
card stock instead of just creating a template.  I suspect the lowest
resolution of 200 dots per inch would be more than sufficient.

I would forget about plotters until you have exhausted inkjet options.
They would require raster-to-vector software which may be included in
some graphics programs or may require a separate application.  Plotters
normally use a null modem serial cables.  If you happen to get one,
make sure it has been used with a standard PC or Mac.  HP has a
proprietary HPIB interface for plotters that you don't want to have to
worry about.  There is still some limited support for old HP plotters
at http:\\www.hp.com.  Two examples:

FAQ HP 7000 Plotter Series
http://h20000.www2.hp.com/bizsupport/TechSupport/Document.jsp?objectID=bpp02024&locale=en_US&taskId=110&prodSeriesId=25257&prodTypeId=18972

Specifications HP 7000 Plotter Series
http://h20000.www2.hp.com/bizsupport/TechSupport/DocumentIndex.jsp?contentGroup=NT_CT_Specifications&locale=en_US&docIndexId=178991&taskId=110&prodTypeId=18972&prodSeriesId=25257