Use a meter and measure the voltage of you cells.
Is that realistic? Everyone has better things to do than sit around for a couple of hours watching their batteries charge, and I find that the most common mistake I make is to leave a charging battery unattended even when I meant to keep an eye on it. (charging at a higher rate so you won't have to watch as long doesn't seem like that great an idea.)never leave them unattended
I'd invest some effort in creating an environment where damage will be minimized in the case where the batteries DO catch fire and they AREN'T being watched at the time. Your tile floor is a good start, if you were considering that part of the charging setup.