Hi,
I just just bought an '05 4.4. Prior to my purchase I considered one in another state, too. Pictures looked great. I was able to have a friend check it out. Mechanically, if it's under warranty, you should be OK. But prior accident history and general wear and tear, it's hard to tell the condition until you really see the car.

Assuming it is consistent with a 31k car, I think you can find get a car closer to the trade-in value, so that is what I'd target. (I paid less, but it was not fully reconditioned.)

I would be mostly looking for accident and/or poor mechanical history, and general wear.