Is there any way to protect myself now if they damage the property before leaving?

There are two aspects of protecting yourself from discrimination.One is what you present to prospective applicants, posted in an office they go to or added to the application.  

I'm not too sure how I feel getting on a personal level with our customers. 

How would be protected ?

Sometimes the bank protects us from ourselves!  

After talking to the customer service rep, assuming the loan or getting a new one from them is not an option since we hold title in an LLC. 

Got it.As far as to whether the LLC really will or will not protect you (and your land) from liability claims, there are many, many threads on the forum on that subject. 

As always protect the seller / the customer, above all the deal must be win-win.But even making a business out of taking control of RE and assigning, even this is permissable in any volume you'd like in the restrictive Ohio per the Jeff Watson interview of OH RE board members, as long as you don't do certain things and take legitimate control and risk via P&S contract with typical earnest money, (what ever, but more than $10 or $100).  

Things like creating an LLC, protecting yourself, insurance, lending options, tenant screening, etc. 

The reason for this is it increases your touches (we all know it takes multiple touches before a customer "acknowledges" your presence in most cases) without increasing your costs.