16's or 17's

[why?]

Yawn.

Drag racing doesn't require handling. Drag racers don't turn at all.

It requires traction. The sidewalls of drag tires are built to warp so that traction is increased.

And most drag tires are rather large, if you haven't noticed.

I highly doubt many people will try to drag race a Yaris.

As for handling, the wider the contact patch and the stiffer the sidewall the better.