Carrying around lots of cash is quite commonplace in Japan.
I have been known to handle / carry $3000 cash on overnight trips...not the most pleasant of experiences as very self aware being from the UK but in Japan people don't think its strange.
If the OP does'nt want to handle the cash any reputable Japanese business should be more than adequately setup to send a furikomi if the OP supplies the suppliers bank account details.
-mrploddy