Missionaries love New Guinea, but this one sounds like they may have been buying time to reach Australia and NZ?
NBC on 3385 does have an after-sunrise peak. It lasts about 20 minutes here, unless I'm using a loop, which usually gives me 10-15 extra minutes.
I don't know if Bangla Betar still uses 4880, but when East New Britain has a good signal, it's always worth a try.