Happens to me in Chrome too, specifically when I reload a page that's stopped at a breakpoint. Instead of force quitting the whole application, check out Window -> Task manager. There you can force quit just a single, specific tab without closing the whole application.

The chrome task manager (hotkey Shift+Esc) is good for killing tabs

For large pages where source changes cause problems I will sometimes put logic inside conditional breakpoints. It's not great for huge changes (though you technically can put a lot of code in there) but for small things like quickly sanitizing null inputs it works fine.