I have a troublesome tenant that I am having a hard time getting out of one of my multi-family properties.  The tenants were all on a month to month lease.  I had all of my tenants sign a year long lease after increasing their rent.  This particular tenant thought the increased rent was too much and told me that they refused to sign the lease and would be moving.  I notified the tenant that they had 30 days to vacate the property.  10 days prior to the scheduled move out date an ambulance was called to the property and the tenant was taken to the hospital.  The tenant notified me that they broke their back and they could not move out in the remaining days. They provided me while medical documents proving the story (they volunteered to provide the documents).  They explained that they would move out by the end of August.  They claimed that they had a place set up to move to, however then asked to sign the year long lease with the increased rent.

All of my other tenants have told me that they have seen the tenant walking, driving, and seems completely normal.  Through text/emails the tenant claims that they are basically hanging on for life and "moving all their stuff could sever their spinal cord at any moment."  

I allowed the delayed move the first month because I wanted to give them the benefit of doubt, however now I have a feeling that I am getting played.  There is no signed lease at this point for them to live there, they have not provided a security deposit, a notice to vacate was delivered at the end of June.  I am confident that they will not be out by the end of the month unless I take action.  The only ideas I can come up with is "Cash for Keys" or start working the eviction process.  

Do I have any other options?