Yeah good luck. We have hundreds of thousands in judgements and haven't collected much with both local and national companies. Depending on the location of the property, it's probably a demographic you'll likely never see money from. If you can get wage garnishment, they'll quit Burger King and go work at McDs and you have to start the process over.
First, I would suggest evaluating your management company. With a legitimate attorney and eviction process, a delinquent tenant should be out by the end of the month they miss rent or pretty close to it. For example, we'll file next Monday the 20th. Court will be 3/2 and they judge will require tenants to be out by 3/9. Most management company don't even file till the the second month and their attorney is 30 days out. So by the time they get them out, you're out 3 months rent plus the down time to get it fixed back up and on the market.
Secondly, it should be their job trying to collect that judgement especially if they placed the tenant. We deal with that for our owners. That's why they hired us. When you hire a PM, they should do all aspects of the job. Otherwise, what are you paying them for?