I'm with David K on this. You can do it on the tablesaw. I have, but only because I didn't have any other option at the time, and didn't know better. Since you have a bandsaw, you should use it, especially since you're working in a small non-workshoppy type of space. Somehow, I don't think you really want the excitement of a kickback ricocheting around your bathroom!
The bandsaw should be able to handle this cut as well as the tablesaw, since I doubt you have a cabinet saw in there. Today, even though I no longer have a bandsaw, I'll forgo resawing rather than do it on the tablesaw.
It came to pass...
"Curiosity is the ultimate power tool." - Roy Underhill
The road IS the destination.