I rented on Airbnb for a few months to a lady in her 50's and her guest is a guy in his 30's with no lease or IDs who leave furniture and materials all over the property, changed the locks, and stopped all communication.

Informal verbal communication would not apply. 

Wire device?

You probably can’t even charge the applicant s verification fee for their device dog.

I also look at craigslist, auction.com and communicate with a local REI group via MeetUp. 

That way it takes all guilt off of you  You are being upfront, honest and communicated your concerns and needs. 

I had 38 communications, 12 showings and 3 applications, 1 of which wants to purchase it and not rent it.

I had 38 communications, 12 showings and 3 applications, 1 of which wants to purchase it and not rent it.

I’m looking for one who communicates and moves fast.

The right PM will have ability to share with you reports and data to include total nights rented, and other reports plus you should have access to view communications if you want.