Dealing with warranty service is a pain in any situation but when you also have to deal with a tenant on top its even worse.

Are there specific lenders or servicers that are more likely to call these loans?

It means the seller has listed the property with a flat fee listing service.

I would talk to your servicer to see if they can assist you. 

What we really need is a single internet "bad tenant" list to warn each other.

Quote from @Jeffrey Hill: There are a couple of challenges with financing the difference. 1) The current servicer has to approve it. 2) Finding a lender to do a 2nd mortgage at 100% CLTV is almost impossible.

If you did not like that experience, maybe you should try a smaller company to get a more personalized service experience.  

But I saw it on the Internet; it must be true.......

I have read I will need to use a third party service to make this happen.  

Our experience is that many lenders/servicer customer representatives may not know the protections that exist for those that want to put asset protection steps in place.