'68 383 barracuda fastback - what to look for?

When you guys go to look at a big-block A body (67-69 barracuda in particular) what are you looking for? What do you recommend I look for/at?

I recommend letting the car idle for a while to make sure that the cooling system is adequate at idle (as you should do with any car). Space is tight in the engine bay and you could have trouble fitting an electric fan if you need it later down the road, I had this problem when I bought my barracuda. I checked it all out and test drove it all over on empty roads and in very light traffic. Wasn't til I got it home that I realized that it couldn't keep the temperature from climbing over 210* in traffic.

If it has a stock radiator and fan shroud, it could be perfectly fine. If it has an aftermarket radiator and a belt driven fan, you're probably going to be looking at adding an electric fan or coming up with a working shroud later down the road.