I moved to escape a noisy renter next door - best thing I ever did. I spent 6 months getting my house into a good state to sell and LITERALLY as the estate agents were hammering in my 'for sale' sign the neigbours moved out !
I still sold as I couldn't face the chance of another scum-bag next door.
You cannot reason with people acting like that, as reasonable people don't act that way.
I did consider renting the house next door to keep it empty while I sold, but luckily they'd trashed it to such a degree it was still empty by the time I'd completed the sale of mine.