Option 2- You could always go this traditional route - just a thought however, although their situation should not concern you - I mean after all they did sign a lease with you agreeing to the terms, they knew what the ramifications would be - they did let you know ahead of time of their situation, instead of just abandoning the rental... maybe you can work some out.. see below. 

notice of abandonment for the old tenant. 

And if they were out by midnight, I'd give them $300 cash.I made it clear the cash would be exchanged at a public location and they had to sign paperwork stating everything they left in the unit was considered abandoned.

That being said, many people will respect a lease term, so I would never abandon term leases.

I told them that the place was a mess, and that I had to spend time cleaning and hauling abandoned furniture out to the dumpster.

Then, she was mad at me for abandoning her and leaving her to the wolves that ripped her off.  

Check your state landlord tenant law under abandonment.

She abandoned the property, etc.

Consider positioning full month payment as what is expected, but offering a rent rebate if the tenant abandons the property on or about Aug 1 and you find a new tenant to move in by Sep 1. 

Having steady cash flow is everything in any business.I also don't allow the following:1.No parking on grass2.No abandoned cars on property3.No water beds4.No incense burning5.No outdoor grilling within 25’ of house6.No ironing on floor or carpet7.Tenant is responsible for all floors8.No RV’s or campers on grass or driveway.9.Landlord not responsible for repair nor replacement of kitchen oven or cook topGood luck JP