I shipped some records (about 500) to Japan when I moved here. I sent them by ship. It took about 7 weeks.... but they became held up in customs because I was on only on a tourist visa and customs would not release the items until I proved that I was planning to stay in Japan with a spouse visa. In total it took almost 3 months until I got them. I didn't have to pay any import taxes though.

Pack a record bag of all your must have or could never live without items and then ship the rest by sea.