Cash for keys, Evict, or Wait Until The Lease Ends

[Nick Klomstad]

One of the tenants I inherited who is on a MTM lease is delinquent for the first month. I was made aware of the same tenant not having paid during the month prior to closing as well.

After receiving no rent for June, I served the 5-day notice to pay or quit and the 30 day notice (4 days ago). 

I was told by the tenant today that I would not see a dime from them for this month or next but that they are looking at places and 'trying to find a place to move to.'

I offered to extend the deadline to file for eviction from 6/10 to 6/14 under two conditions: that they pay in full on the new date and that they move out at the end of June.

The eviction process will take much longer than remains on the MTM lease though from what I understand it will cost about as much as I am set to lose in rent. 

Through inaction (waiting til term)I am guaranteeing a loss of 2-months rent ($1900). Is this a situation where cash for keys makes sense?  I don't know the risk of the tenants trying to squat at that point, either.

Any wisdom would be appreciated - this is my first rodeo!