I have  done  it   a couple  of  times  the  other  way:   1953  coupe from
USA  to Finland /  Sweden  -even  picked  one  Hawk   from UK  myself.
hhat  I  have  learned  is  to  avoid  so  called  Ro-Ro  vessels   which
are  mainly used  for  new car  transportation ( also  for newer used
cars)  It  is  safer  to have  your  car   loaded  into  either a 20  foot
container   or  to ship in a shared  40  feet  container  with 1-2  other
cars. The  company handling the loading  of the  container  should  have
experience  how  to  load  old cars  - otherwise  some things  may  not
go as  planned. Same  goes  with unloading...

There  are companies  that  do  more  the  other way  - from US ports   to
Sweden  or  UK  and  so on.  But  they  tend  to  have  reliable  contacts
in  the  US  ports   as well.

I  know  that a company in Sweden   is  shipping  a  4-digit  figure  of
old  American  classics from  various ports to  Sweden. ( I used them once
a couple of  years  ago  to have  my former  1953  coupe  shipped  from
N.Y.)to Sweden/Finland. If  you want I can  send  you the contact
information.  (  They  have a  network  covering also UK  and they  ship
also cars  from Europe  to  various  US  destinations.)

Pekka  from Helsinki

20 years ago I bought three cars, the remains of a wrecked late '64 Avanti,
the NOS R-3 and R-4 engines and a bunch of spares from a man in Birmingham,
England.  He packed everything in two ocean containers and arranged a
shipping agent on his end.  I found an international freight forwarder at
the Port of Baltimore who arranged the receipt of everything including going
through customs (he told them the stuff was US origin and they signed off
without even looking).  Except for an aggravating decision by the ocean
carrier, everything went smooth as silk- no damage or shortages.  This was
in spite being loaded at Cork, Ireland, trucked to Waterford, loaded on a
small container ship which took them to Hamburg, Germany where they were
re-loaded on a larger container ship which crossed the North Atlantic in the
winter (rough).  The ship was supposed to bring the containers to Baltimore
where my freight forwarder would hold them for me to unload at his facility
about 35 miles from me.  The ship decided it didn't have enough cargo for
Baltimore so they dropped the containers at Norfolk and hired truckers to
bring them to Baltimore.  The truckers wouldn't leave the containers so the
freight forwarder had to unload them into his warehouse.  I was in South
America while this was going on.  However, everything was fine.
So, you might try to line up an international freight forwarder at the port
you intend to use.  Let them deal with the shipment.  It might cost you a
little more, but that is what they do and they know how to do it.  For one,
marine insurance is MUCH different from land or air shipments and it
requires special expertise to handle.
Go for it.
Paul Johnson