Hi Page! If I am understanding correctly, what you are saying is that at your company, you performed a lot more roles than most onsite managers do. This means, you can lease, hire, terminate, discipline, manage leases, perform more in-depth financial reporting and these skills translates to doing what some Regional Managers do. In addition, you also learned the construction side, due diligence, marketing, and staging, rehab side, which a lot of managers also participate in but are not necessarily the decision-maker or oversee whole projects.
The way I see this is you have a unique skill set that makes you highly valuable. In a lot of ways, finding a new position means you will need to network with others who have known what you can do. The Property Manager position varies greatly from company to company although the job descriptions may be essential the same. Reach out to the company's recruiters, perhaps through Linkedin. They can really help guide you in the right direction with the right company. Brent, a lot of companies do use a screening tool for resumes and many will reject yours! This is why it is great to network and reach out to industry people and let them know you are available.