Odd...

I don't think I've ever lost control due to a flat. Was it a blowout or a slow leak?

I spent many years riding sewups, and got good at feeling when I was losing pressure. Now I'm mostly on clinchers, but one can feel when the tire starts to bump.

I've heard that one of the issues with clinchers is that the bead can roll or something, but I've always been stopped before that was an issue.

Anyway, what I'd say is that learn to feel when your tire is going flat (those first bump-bump-bumps, and stop when it is still safe to do so.

Plus, more practice unclipping???