If it's a "temporary" break up, like most couples experience, you'll regret if you reflexively blow off the monetary savings you had invested in the relationship, it may come back to haunt you.
But if you're sure it's permanent (which is quite impossible, given my experiences), then go ahead and take a trip. I wouldn't go somewhere exotic, though. Instead, I'd pick a couple American cities I've never been to and go have fun there.
Vacations are always good.
