If you do find out that they reported the eviction, you will have to find a "For Rent Buy Owner" and hope they don't run a check on you.
That is a tough scenerio. Have you been renting somewhere since the eviction that could give you a good reference and have you tried to make arrangements to pay off the debt to the place that evicted you? Most professionals will run credit and background checks and check previous landlord references that will most likely stop you from getting their approval. Some apartment complexes may be more relaxed on their criteria. You might just inquire within the communities and pull a credit report on yourself so you'll see iwhat's there. You can get a free report once a year from https://www.annualcreditreport.com/cra/index.jsp. good luck.