I am originally from So Cal but am currently living in Haiti.  

Not sure if this is the right forum - these aren't exactly foreclosure properties, but are basically handled the same way, just by private sellers.The back story: A few years ago there was a massive earthquake (or two) in Christchurch, New Zealand and thousands of homes were damaged.

Tell them your wife is in Haiti helping the refugees and you need her approval, but you’re definitely not going to start looking for a real buyer after you lock up their property and ruin their plans of moving on with their lives. 

Anything special re: earthquake damage to look for?

The fact you might have a once in a decade freak even that knocks out power/water for a few days is already 'baked in"Just like an earthquake in socal or tornado in Tennessee won't change the market. 

One of them was a FSBO listing that had extensive earthquake retrofitting.

I'm not that desperate to live in earthquake fire land.

If, a big if, the tree was so huge that it caused a landlisde and you had earth movement coverage (an extended version of an earthquake policy also known as DIC) then maybe just maybe you could trigger that policy (and most have 5%+ deductibles which would likely exceed $15k in damages anyway) but that would be a stretch.

If the property values in your market soften, if the tenant moves in and destroys it, fire, earthquakes, floods, hail, hurricane, another lock down requires you to keep a non-paying tenant - honestly anything - and my position in the property is at jeopardy.

(i.e. start up cost to buy a sewing machine in Haiti to start making clothing, or buy a chicken in Indonesia and sell the eggs, etc).