There are no other options. All of the other headers are outputs only. I actually like the 12V option as it avoids issues with voltage drops with a 5V supply, which I've seen a number of times. With the 12V input connection, it works from 9V to 14V without any issues. In fact, the datasheet shows 5....
Do you have access to a hot air re-work station?
It might be nothing more than a bad connection on one of the BGA balls.and a reflow of the memory chips might work. No guarantee but worth a try if you have access to one.