No. It's not safe.
It's not that Trulia isn't safe. But the process you're describing--whether it's on Trulia or Craigslist or your local newspaper--is not safe.
Never, ever, ever send money to someone you don't know. Never. Many such offers are scams. You send the money and you never get the keys.
Besides, logically: What do you need the keys sent to you? What are you going to do with keys to a Kentucky property when you're in Michigan? Seriously? You only need them once you're there. And if someone actually sent you the keys (which they usually don't), how the heck would you know whether the keys are actually for the property in Kentucky?
But more to the point, deal with a reputable intermediary. Or drive down to Louisville and take a look at the property and meet the landlord. Oh, you say the landlord is out of town? Perhaps overseas? Absolute scam.
Protect yourself. Rent the right way.
Hope that helps.