Oops, must have misread the early post.
Did you see the examples on Kakaku? All the rates are listed there for the big banks. They offer much better rates than you posted, as do most netbanks.The rates I wrote (either 1.1% with limited 手数料 OR 0.85% with a much more substantial 手数料) are the rates quoted the website of Kagoshima Bank for all to see.
My wife thinks the difference may be that the lower rate places are online banks only. Thanks in advance if anyone knows...
Why not simply apply for pre-approval at multiple banks?
We applied for pre-approval with 7 banks before we got .375% from Mizuho. AU was also competitive.