In response to another question (about how to make credit cards pay interest on any positive balance), I came up with an odd combination: Get an account with both a debit card and a linked overdraft-line-of-credit loan. This seems to have an interesting, if odd, mix of characteristics:
This would pay interest on positive balances (though minimal, these days).
It would probably have a lower loan interest rate than most credit cards (depending on what security you use to guarantee it).
It wouldn't have a "grace period", but you could get something resembling that by maintaining a buffer balance.
You wouldn't get a credit-card-style detailed monthly statement; the account statement(s) would carry some but not all of that info.
As of last time I checked, debit cards still didn't have all the protections of credit cards -- no chargeback mechanism, never mind all the add-ons some cards offer like "extended warranties".
... Assuming a bank was OK with this setup, what other advantages and disadvantages would this have? How close does it really come to being a non-credit-card credit-card? Is it a stupid idea, brilliant, or brilliantly stupid?