If they don't have cause, they'll fabricate it if you look like you have some monetary value they can go after.

But doing so would cost you time and money, with little chance of monetary gain and it would probably hurt the relationship.

I have not yet suffered a monetary loss, so I can't sue them, unless there is some mechanism that I can use to pre-empt them from suing me?

Moving it does have some monetary value (maybe taking to a dump or whatever), but what about the hassle of actually moving it?

If she doesn't pay what is due to you in a timely manner, send her a demand letter, it she doesn't respond to that, then decide if the monetary value is worth a lawsuit.

In return, I gave my tenant a little monetary gift towards her move out expenses.

And you may rent the place quickly without any monetary damages ( you usually do have to mitigate the damages by attempting to re-rent) and thus have nothing to go to court for. 

If I can show a judge my attempt to act in good faith by ascertaining and documenting the property which has monetary value or a reasonable person would believe sentimental value to the former occupant, and keep good records despite delegating the transfers and storage to my contractor, I've taken reasonable steps to be a good steward of their stuff. 

There are many criteria to look for when searching for a PM company, not all of which are monetary based.

Your final eviction judgment will include a monetary judgment which you can then attempt to enforce.